72400816 has 20 divisors (see below), whose sum is σ = 142200472. Its totient is φ = 35703936.

The previous prime is 72400813. The next prime is 72400831. The reversal of 72400816 is 61800427.

It is not an unprimeable number, because it can be changed into a prime (72400813) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29826 + ... + 32161.

Almost surely, 2^72400816 is an apocalyptic number.

It is an amenable number.

72400816 is a deficient number, since it is larger than the sum of its proper divisors (69799656).

72400816 is a wasteful number, since it uses less digits than its factorization.

72400816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62068 (or 62062 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 72400816 is about 8508.8669045884. The cubic root of 72400816 is about 416.7873095631.

The spelling of 72400816 in words is "seventy-two million, four hundred thousand, eight hundred sixteen".