72396072 has 64 divisors (see below), whose sum is σ = 229833600. Its totient is φ = 20684160.

The previous prime is 72396059. The next prime is 72396083. The reversal of 72396072 is 27069327.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22429 + ... + 25452.

It is an arithmetic number, because the mean of its divisors is an integer number (3591150).

Almost surely, 2^72396072 is an apocalyptic number.

72396072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72396072 is an abundant number, since it is smaller than the sum of its proper divisors (157437528).

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

72396072 is a wasteful number, since it uses less digits than its factorization.

72396072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47903 (or 47893 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72396072 is about 8508.5881319993. The cubic root of 72396072 is about 416.7782061566.

The spelling of 72396072 in words is "seventy-two million, three hundred ninety-six thousand, seventy-two".