72400908 has 48 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 23649024.

The previous prime is 72400891. The next prime is 72400919. The reversal of 72400908 is 80900427.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144843 + ... + 145341.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^72400908 is an apocalyptic number.

It is an amenable number.

72400908 is an abundant number, since it is smaller than the sum of its proper divisors (99967092).

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

72400908 is a wasteful number, since it uses less digits than its factorization.

72400908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72400908 is about 8508.8723107119. The cubic root of 72400908 is about 416.7874861008.

The spelling of 72400908 in words is "seventy-two million, four hundred thousand, nine hundred eight".