72804616 has 64 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 33196800.

The previous prime is 72804601. The next prime is 72804617. The reversal of 72804616 is 61640827.

It is a super-2 number, since 2×72804616² = 10601024221814912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72804617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 381081 + ... + 381271.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 2^72804616 is an apocalyptic number.

It is an amenable number.

72804616 is an abundant number, since it is smaller than the sum of its proper divisors (76494584).

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

72804616 is a wasteful number, since it uses less digits than its factorization.

72804616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72804616 is about 8532.5621005651. The cubic root of 72804616 is about 417.5607207273.

The spelling of 72804616 in words is "seventy-two million, eight hundred four thousand, six hundred sixteen".