72408024 has 48 divisors (see below), whose sum is σ = 211192800. Its totient is φ = 22279104.

The previous prime is 72408013. The next prime is 72408047. The reversal of 72408024 is 42080427.

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 11 ways as a sum of consecutive naturals, for example, 37744 + ... + 39615.

It is an arithmetic number, because the mean of its divisors is an integer number (4399850).

Almost surely, 2^72408024 is an apocalyptic number.

It is an amenable number.

72408024 is an abundant number, since it is smaller than the sum of its proper divisors (138784776).

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

72408024 is a wasteful number, since it uses less digits than its factorization.

72408024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77384 (or 77377 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72408024 is about 8509.2904522058. The cubic root of 72408024 is about 416.8011404534.

The spelling of 72408024 in words is "seventy-two million, four hundred eight thousand, twenty-four".