72511825 has 12 divisors (see below), whose sum is σ = 90133120. Its totient is φ = 57868560.

The previous prime is 72511807. The next prime is 72511841. The reversal of 72511825 is 52811527.

It is not a de Polignac number, because 72511825 - 2²⁵ = 38957393 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7672 + ... + 14278.

Almost surely, 2^72511825 is an apocalyptic number.

It is an amenable number.

72511825 is a deficient number, since it is larger than the sum of its proper divisors (17621295).

72511825 is a wasteful number, since it uses less digits than its factorization.

72511825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7051 counting only the distinct ones).

The product of its digits is 5600, while the sum is 31.

The square root of 72511825 is about 8515.3875425608. The cubic root of 72511825 is about 417.0002146962. Note that the first 3 decimals are identical.

The spelling of 72511825 in words is "seventy-two million, five hundred eleven thousand, eight hundred twenty-five".