72909960 has 32 divisors (see below), whose sum is σ = 218730240. Its totient is φ = 19442624.

The previous prime is 72909929. The next prime is 72909961. The reversal of 72909960 is 6990927.

It is not an unprimeable number, because it can be changed into a prime (72909961) 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, 303672 + ... + 303911.

It is an arithmetic number, because the mean of its divisors is an integer number (6835320).

Almost surely, 2^72909960 is an apocalyptic number.

It is an amenable number.

72909960 is an abundant number, since it is smaller than the sum of its proper divisors (145820280).

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

72909960 is a wasteful number, since it uses less digits than its factorization.

72909960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607597 (or 607593 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 72909960 is about 8538.7329270800. The cubic root of 72909960 is about 417.7620189427.

The spelling of 72909960 in words is "seventy-two million, nine hundred nine thousand, nine hundred sixty".