72804753 has 12 divisors (see below), whose sum is σ = 120185728. Its totient is φ = 41602680.

The previous prime is 72804737. The next prime is 72804757. The reversal of 72804753 is 35740827.

It is not a de Polignac number, because 72804753 - 2⁴ = 72804737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72804757) 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 11 ways as a sum of consecutive naturals, for example, 577753 + ... + 577878.

Almost surely, 2^72804753 is an apocalyptic number.

It is an amenable number.

72804753 is a deficient number, since it is larger than the sum of its proper divisors (47380975).

72804753 is a wasteful number, since it uses less digits than its factorization.

72804753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155644 (or 1155641 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72804753 is about 8532.5701286306. The cubic root of 72804753 is about 417.5609826419.

The spelling of 72804753 in words is "seventy-two million, eight hundred four thousand, seven hundred fifty-three".