72960496 has 40 divisors (see below), whose sum is σ = 161978720. Its totient is φ = 31186944.

The previous prime is 72960487. The next prime is 72960499. The reversal of 72960496 is 69406927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72960499) 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, 64060 + ... + 65188.

It is an arithmetic number, because the mean of its divisors is an integer number (4049468).

Almost surely, 2^72960496 is an apocalyptic number.

It is an amenable number.

72960496 is an abundant number, since it is smaller than the sum of its proper divisors (89018224).

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

72960496 is a wasteful number, since it uses less digits than its factorization.

72960496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 72960496 is about 8541.6916357359. The cubic root of 72960496 is about 417.8585176262.

The spelling of 72960496 in words is "seventy-two million, nine hundred sixty thousand, four hundred ninety-six".