72465800 has 48 divisors (see below), whose sum is σ = 183805200. Its totient is φ = 26350400.

The previous prime is 72465797. The next prime is 72465803. The reversal of 72465800 is 856427.

It is an interprime number because it is at equal distance from previous prime (72465797) and next prime (72465803).

It is not an unprimeable number, because it can be changed into a prime (72465803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14270 + ... + 18669.

It is an arithmetic number, because the mean of its divisors is an integer number (3829275).

Almost surely, 2^72465800 is an apocalyptic number.

It is an amenable number.

72465800 is an abundant number, since it is smaller than the sum of its proper divisors (111339400).

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

72465800 is a wasteful number, since it uses less digits than its factorization.

72465800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32966 (or 32957 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 72465800 is about 8512.6846529165. The cubic root of 72465800 is about 416.9119693333.

The spelling of 72465800 in words is "seventy-two million, four hundred sixty-five thousand, eight hundred".