72067752 has 32 divisors (see below), whose sum is σ = 200188800. Its totient is φ = 24022512.

The previous prime is 72067739. The next prime is 72067753. The reversal of 72067752 is 25776027.

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

It is not an unprimeable number, because it can be changed into a prime (72067753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166608 + ... + 167039.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^72067752 is an apocalyptic number.

72067752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72067752 is an abundant number, since it is smaller than the sum of its proper divisors (128121048).

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

72067752 is a wasteful number, since it uses less digits than its factorization.

72067752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333662 (or 333652 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 72067752 is about 8489.2727603724. The cubic root of 72067752 is about 416.1472142930.

The spelling of 72067752 in words is "seventy-two million, sixty-seven thousand, seven hundred fifty-two".