72500 has 30 divisors (see below), whose sum is σ = 164010. Its totient is φ = 28000.

The previous prime is 72497. The next prime is 72503. The reversal of 72500 is 527.

It is an interprime number because it is at equal distance from previous prime (72497) and next prime (72503).

It can be written as a sum of positive squares in 5 ways, for example, as 27556 + 44944 = 166^2 + 212^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72503) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2486 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (5467).

2⁷²⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82005).

72500 is an abundant number, since it is smaller than the sum of its proper divisors (91510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72500 is a wasteful number, since it uses less digits than its factorization.

With its successor (72501) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (53).

72500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 72500 is about 269.2582403567. The cubic root of 72500 is about 41.6977545770.

The spelling of 72500 in words is "seventy-two thousand, five hundred".