72633504 has 48 divisors (see below), whose sum is σ = 200702880. Its totient is φ = 22936320.

The previous prime is 72633481. The next prime is 72633521. The reversal of 72633504 is 40533627.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18087 + ... + 21734.

It is an arithmetic number, because the mean of its divisors is an integer number (4181310).

Almost surely, 2^72633504 is an apocalyptic number.

It is an amenable number.

72633504 is an abundant number, since it is smaller than the sum of its proper divisors (128069376).

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

72633504 is a wasteful number, since it uses less digits than its factorization.

72633504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39853 (or 39845 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 72633504 is about 8522.5292020620. The cubic root of 72633504 is about 417.2333344387.

It can be divided in two parts, 72633 and 504, that added together give a palindrome (73137).

The spelling of 72633504 in words is "seventy-two million, six hundred thirty-three thousand, five hundred four".