72725904 has 40 divisors (see below), whose sum is σ = 208751520. Its totient is φ = 24241824.

The previous prime is 72725843. The next prime is 72725909. The reversal of 72725904 is 40952727.

It is a super-2 number, since 2×72725904² = 10578114225234432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72725909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83742 + ... + 84605.

It is an arithmetic number, because the mean of its divisors is an integer number (5218788).

Almost surely, 2^72725904 is an apocalyptic number.

It is an amenable number.

72725904 is an abundant number, since it is smaller than the sum of its proper divisors (136025616).

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

72725904 is a wasteful number, since it uses less digits than its factorization.

72725904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168364 (or 168352 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72725904 is about 8527.9484050972. The cubic root of 72725904 is about 417.4101858986.

The spelling of 72725904 in words is "seventy-two million, seven hundred twenty-five thousand, nine hundred four".