72315504 has 50 divisors (see below), whose sum is σ = 209305800. Its totient is φ = 24104736.

The previous prime is 72315497. The next prime is 72315517. The reversal of 72315504 is 40551327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 26604 + ... + 29195.

It is an arithmetic number, because the mean of its divisors is an integer number (4186116).

Almost surely, 2^72315504 is an apocalyptic number.

It is an amenable number.

72315504 is an abundant number, since it is smaller than the sum of its proper divisors (136990296).

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

72315504 is a wasteful number, since it uses less digits than its factorization.

72315504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55819 (or 55804 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72315504 is about 8503.8523035152. The cubic root of 72315504 is about 416.6235409944.

The spelling of 72315504 in words is "seventy-two million, three hundred fifteen thousand, five hundred four".