72967968 has 36 divisors (see below), whose sum is σ = 207503478. Its totient is φ = 24322560.

The previous prime is 72967933. The next prime is 72967969. The reversal of 72967968 is 86976927.

It can be written as a sum of positive squares in only one way, i.e., 68757264 + 4210704 = 8292^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72967969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126393 + ... + 126968.

Almost surely, 2^72967968 is an apocalyptic number.

It is an amenable number.

72967968 is an abundant number, since it is smaller than the sum of its proper divisors (134535510).

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

72967968 is a wasteful number, since it uses less digits than its factorization.

72967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253377 (or 253366 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 72967968 is about 8542.1290086254. The cubic root of 72967968 is about 417.8727816570.

The spelling of 72967968 in words is "seventy-two million, nine hundred sixty-seven thousand, nine hundred sixty-eight".