72720768 has 32 divisors (see below), whose sum is σ = 193165560. Its totient is φ = 24240128.

The previous prime is 72720763. The next prime is 72720787. The reversal of 72720768 is 86702727.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72720763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94305 + ... + 95072.

Almost surely, 2^72720768 is an apocalyptic number.

It is an amenable number.

72720768 is an abundant number, since it is smaller than the sum of its proper divisors (120444792).

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

72720768 is a wasteful number, since it uses less digits than its factorization.

72720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189394 (or 189382 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 72720768 is about 8527.6472722551. The cubic root of 72720768 is about 417.4003596465.

The spelling of 72720768 in words is "seventy-two million, seven hundred twenty thousand, seven hundred sixty-eight".