72413824 has 32 divisors (see below), whose sum is σ = 164872800. Its totient is φ = 31034112.

The previous prime is 72413819. The next prime is 72413833. The reversal of 72413824 is 42831427.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39514 + ... + 41305.

It is an arithmetic number, because the mean of its divisors is an integer number (5152275).

Almost surely, 2^72413824 is an apocalyptic number.

It is an amenable number.

72413824 is an abundant number, since it is smaller than the sum of its proper divisors (92458976).

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

72413824 is an equidigital number, since it uses as much as digits as its factorization.

72413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80840 (or 80828 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 72413824 is about 8509.6312493551. The cubic root of 72413824 is about 416.8122689718.

It can be divided in two parts, 72413 and 824, that added together give a palindrome (73237).

The spelling of 72413824 in words is "seventy-two million, four hundred thirteen thousand, eight hundred twenty-four".