72592260 has 72 divisors (see below), whose sum is σ = 220127040. Its totient is φ = 17866368.

The previous prime is 72592259. The next prime is 72592271. The reversal of 72592260 is 6229527.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6561 + ... + 13719.

It is an arithmetic number, because the mean of its divisors is an integer number (3057320).

Almost surely, 2^72592260 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 72592260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110063520).

72592260 is an abundant number, since it is smaller than the sum of its proper divisors (147534780).

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

72592260 is a wasteful number, since it uses less digits than its factorization.

72592260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197 (or 7182 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72592260 is about 8520.1091542304. The cubic root of 72592260 is about 417.1543459605.

The spelling of 72592260 in words is "seventy-two million, five hundred ninety-two thousand, two hundred sixty".