72511904 has 36 divisors (see below), whose sum is σ = 150690834. Its totient is φ = 34342272.

The previous prime is 72511877. The next prime is 72511913. The reversal of 72511904 is 40911527.

It can be written as a sum of positive squares in only one way, i.e., 41731600 + 30780304 = 6460^2 + 5548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8414 + ... + 14690.

Almost surely, 2^72511904 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 72511904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75345417).

72511904 is an abundant number, since it is smaller than the sum of its proper divisors (78178930).

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

72511904 is a wasteful number, since it uses less digits than its factorization.

72511904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 72511904 is about 8515.3921812210. The cubic root of 72511904 is about 417.0003661336. Note that the first 3 decimals are identical.

The spelling of 72511904 in words is "seventy-two million, five hundred eleven thousand, nine hundred four".