Is 72200 a prime number?

No. 72200 is composite — it has more than 2 divisors (it has 36).

Divisors of 72200: All 36 Factors

Q: What are the divisors of 72200?

The divisors (factors) of 72200 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 361, 380, 475, 722, 760, 950, 1444, 1805, 1900, 2888, 3610, 3800, 7220, 9025, 14440, 18050, 36100, 72200.

Q: What is the sum of the divisors of 72200?

The sum is 1 + 2 + 4 + 5 + 8 + 10 + 19 + 20 + 25 + 38 + 40 + 50 + 76 + 95 + 100 + 152 + 190 + 200 + 361 + 380 + 475 + 722 + 760 + 950 + 1444 + 1805 + 1900 + 2888 + 3610 + 3800 + 7220 + 9025 + 14440 + 18050 + 36100 + 72200 = 177165.

Quick Answer

72200 has 36 divisors (factors): 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 361, 380, 475, 722, 760, 950, 1444, 1805, 1900, 2888, 3610, 3800, 7220, 9025, 14440, 18050, 36100, 72200.

Sum: 177165.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).

All Divisors of 72200

The number 72200 has 36 divisors:

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 361, 380, 475, 722, 760, 950, 1444, 1805, 1900, 2888, 3610, 3800, 7220, 9025, 14440, 18050, 36100, 72200

Divisor Pairs of 72200

Each pair multiplies to 72200:

Factor 1	×	Factor 2	=	Product
1	×	72200	=	72200
2	×	36100	=	72200
4	×	18050	=	72200
5	×	14440	=	72200
8	×	9025	=	72200
10	×	7220	=	72200
19	×	3800	=	72200
20	×	3610	=	72200
25	×	2888	=	72200
38	×	1900	=	72200
40	×	1805	=	72200
50	×	1444	=	72200
76	×	950	=	72200
95	×	760	=	72200
100	×	722	=	72200
152	×	475	=	72200
190	×	380	=	72200
200	×	361	=	72200

Number of Divisors

The number 72200 has 36 divisors, written as τ(72200) = 36 in number theory.

Sum of Divisors

σ(72200) = 1 + 2 + 4 + 5 + 8 + 10 + 19 + 20 + 25 + 38 + 40 + 50 + 76 + 95 + 100 + 152 + 190 + 200 + 361 + 380 + 475 + 722 + 760 + 950 + 1444 + 1805 + 1900 + 2888 + 3610 + 3800 + 7220 + 9025 + 14440 + 18050 + 36100 + 72200 = 177165

Prime Factorization of 72200

See the full prime factorization calculator →

Properties of 72200

72200 is composite.
72200 is not a perfect square.
Number of divisors: 36.
Sum of divisors: 177165.

Common Divisors with Another Number?

Looking for the divisors that 72200 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.

Step-by-Step: How to Find the Divisors of 72200

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √72200 ≈ 268.70. If i divides 72200, then both i and 72200/i are divisors.

1 divides 72200 (72200 ÷ 1 = 72200) → pair (1, 72200)
2 divides 72200 (72200 ÷ 2 = 36100) → pair (2, 36100)
4 divides 72200 (72200 ÷ 4 = 18050) → pair (4, 18050)
5 divides 72200 (72200 ÷ 5 = 14440) → pair (5, 14440)
8 divides 72200 (72200 ÷ 8 = 9025) → pair (8, 9025)
10 divides 72200 (72200 ÷ 10 = 7220) → pair (10, 7220)
19 divides 72200 (72200 ÷ 19 = 3800) → pair (19, 3800)
20 divides 72200 (72200 ÷ 20 = 3610) → pair (20, 3610)
25 divides 72200 (72200 ÷ 25 = 2888) → pair (25, 2888)
38 divides 72200 (72200 ÷ 38 = 1900) → pair (38, 1900)
40 divides 72200 (72200 ÷ 40 = 1805) → pair (40, 1805)
50 divides 72200 (72200 ÷ 50 = 1444) → pair (50, 1444)
76 divides 72200 (72200 ÷ 76 = 950) → pair (76, 950)
95 divides 72200 (72200 ÷ 95 = 760) → pair (95, 760)
100 divides 72200 (72200 ÷ 100 = 722) → pair (100, 722)
152 divides 72200 (72200 ÷ 152 = 475) → pair (152, 475)
190 divides 72200 (72200 ÷ 190 = 380) → pair (190, 380)
200 divides 72200 (72200 ÷ 200 = 361) → pair (200, 361)
Collect all unique values: {1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 361, 380, 475, 722, 760, 950, 1444, 1805, 1900, 2888, 3610, 3800, 7220, 9025, 14440, 18050, 36100, 72200} — total 36 divisors.
Sum: 1 + 2 + 4 + 5 + 8 + 10 + 19 + 20 + 25 + 38 + 40 + 50 + 76 + 95 + 100 + 152 + 190 + 200 + 361 + 380 + 475 + 722 + 760 + 950 + 1444 + 1805 + 1900 + 2888 + 3610 + 3800 + 7220 + 9025 + 14440 + 18050 + 36100 + 72200 = 177165.

Nearby Examples

n	divisors count	sum σ(n)
360	24	1170
240	20	744
180	18	546
144	15	403
120	16	360
100	9	217
90	12	234
84	12	224

Related Operations for 72200

Multiples of a Number — "outward" complement of divisors
72200 Prime Factorization — decompose into prime building blocks
Find GCF of 72200 and another number
Find LCM of 72200 and another number
Is 72200 a perfect square? (odd divisor count ⇔ yes)

What Is a Divisor?

A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.

Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.

Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.

References

Divisors Calculation Examples

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Related Calculators

Multiples of a Number — "outward" complement
Prime Factorization — product of prime divisors
Greatest Common Factor (GCF) — largest common divisor of 2+ numbers
Least Common Multiple (LCM) — smallest common multiple
Is N a Perfect Square? — odd divisor count check