72717730956 has 288 divisors, whose sum is σ = 209372217600. Its totient is φ = 21123970560.

The previous prime is 72717730931. The next prime is 72717730999. The reversal of 72717730956 is 65903771727.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191867175 + ... + 191867553.

Almost surely, 2^72717730956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72717730956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104686108800).

72717730956 is an abundant number, since it is smaller than the sum of its proper divisors (136654486644).

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

72717730956 is a wasteful number, since it uses less digits than its factorization.

72717730956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 72717730956 in words is "seventy-two billion, seven hundred seventeen million, seven hundred thirty thousand, nine hundred fifty-six".