72813824 has 18 divisors (see below), whose sum is σ = 145343730. Its totient is φ = 36406784.

The previous prime is 72813787. The next prime is 72813863. The reversal of 72813824 is 42831827.

It can be written as a sum of positive squares in only one way, i.e., 40551424 + 32262400 = 6368^2 + 5680^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 141959 + ... + 142470.

Almost surely, 2^72813824 is an apocalyptic number.

It is an amenable number.

72813824 is a deficient number, since it is larger than the sum of its proper divisors (72529906).

72813824 is an equidigital number, since it uses as much as digits as its factorization.

72813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284445 (or 284431 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 72813824 is about 8533.1016635219. The cubic root of 72813824 is about 417.5783237184.

It can be divided in two parts, 72813 and 824, that added together give a palindrome (73637).

The spelling of 72813824 in words is "seventy-two million, eight hundred thirteen thousand, eight hundred twenty-four".