72557760 has 112 divisors (see below), whose sum is σ = 251350272. Its totient is φ = 17587200.

The previous prime is 72557753. The next prime is 72557783. The reversal of 72557760 is 6775527.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7125 + ... + 13995.

Almost surely, 2^72557760 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 72557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125675136).

72557760 is an abundant number, since it is smaller than the sum of its proper divisors (178792512).

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

72557760 is a wasteful number, since it uses less digits than its factorization.

72557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 72557760 is about 8518.0842916703. The cubic root of 72557760 is about 417.0882502753.

It can be divided in two parts, 725 and 57760, that added together give a palindrome (58485).

The spelling of 72557760 in words is "seventy-two million, five hundred fifty-seven thousand, seven hundred sixty".