72814504 has 32 divisors (see below), whose sum is σ = 162817920. Its totient is φ = 29848896.

The previous prime is 72814501. The next prime is 72814513. The reversal of 72814504 is 40541827.

It is not an unprimeable number, because it can be changed into a prime (72814501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26979 + ... + 29554.

It is an arithmetic number, because the mean of its divisors is an integer number (5088060).

Almost surely, 2^72814504 is an apocalyptic number.

It is an amenable number.

72814504 is an abundant number, since it is smaller than the sum of its proper divisors (90003416).

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

72814504 is a wasteful number, since it uses less digits than its factorization.

72814504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56569 (or 56565 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 72814504 is about 8533.1415082606. The cubic root of 72814504 is about 417.5796236198.

The spelling of 72814504 in words is "seventy-two million, eight hundred fourteen thousand, five hundred four".