72660096 has 48 divisors (see below), whose sum is σ = 209090310. Its totient is φ = 24219648.

The previous prime is 72660043. The next prime is 72660113. The reversal of 72660096 is 69006627.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 69696 = 8520^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72660096.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30385 + ... + 32688.

Almost surely, 2^72660096 is an apocalyptic number.

It is an amenable number.

72660096 is an abundant number, since it is smaller than the sum of its proper divisors (136430214).

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

72660096 is a wasteful number, since it uses less digits than its factorization.

72660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63093 (or 63078 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 72660096 is about 8524.0891595525. The cubic root of 72660096 is about 417.2842462746.

The spelling of 72660096 in words is "seventy-two million, six hundred sixty thousand, ninety-six".