72960576 has 56 divisors (see below), whose sum is σ = 207897984. Its totient is φ = 22448640.

The previous prime is 72960571. The next prime is 72960599. The reversal of 72960576 is 67506927.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72960571) 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, 12120 + ... + 17111.

It is an arithmetic number, because the mean of its divisors is an integer number (3712464).

Almost surely, 2^72960576 is an apocalyptic number.

It is an amenable number.

72960576 is an abundant number, since it is smaller than the sum of its proper divisors (134937408).

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

72960576 is a wasteful number, since it uses less digits than its factorization.

72960576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29259 (or 29249 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 72960576 is about 8541.6963186477. The cubic root of 72960576 is about 417.8586703512.

It can be divided in two parts, 72960 and 576, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 72960576 in words is "seventy-two million, nine hundred sixty thousand, five hundred seventy-six".