72024875 has 32 divisors (see below), whose sum is σ = 97843200. Its totient is φ = 52617600.

The previous prime is 72024859. The next prime is 72024919. The reversal of 72024875 is 57842027.

It is not a de Polignac number, because 72024875 - 2⁴ = 72024859 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 206201 + ... + 206549.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^72024875 is an apocalyptic number.

72024875 is a deficient number, since it is larger than the sum of its proper divisors (25818325).

72024875 is a wasteful number, since it uses less digits than its factorization.

72024875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 72024875 is about 8486.7470210912. The cubic root of 72024875 is about 416.0646684322.

The spelling of 72024875 in words is "seventy-two million, twenty-four thousand, eight hundred seventy-five".