72024008 has 32 divisors (see below), whose sum is σ = 154632000. Its totient is φ = 30808512.

The previous prime is 72023989. The next prime is 72024031. The reversal of 72024008 is 80042027.

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, 41543 + ... + 43241.

It is an arithmetic number, because the mean of its divisors is an integer number (4832250).

Almost surely, 2^72024008 is an apocalyptic number.

It is an amenable number.

72024008 is an abundant number, since it is smaller than the sum of its proper divisors (82607992).

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

72024008 is a wasteful number, since it uses less digits than its factorization.

72024008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 72024008 is about 8486.6959412954. The cubic root of 72024008 is about 416.0629989649.

The spelling of 72024008 in words is "seventy-two million, twenty-four thousand, eight".