72115320336 has 160 divisors (see below), whose sum is σ = 200520499200. Its totient is φ = 22282283520.

The previous prime is 72115320311. The next prime is 72115320341. The reversal of 72115320336 is 63302351127.

It is a junction number, because it is equal to n+sod(n) for n = 72115320297 and 72115320306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5473725 + ... + 5486883.

It is an arithmetic number, because the mean of its divisors is an integer number (1253253120).

Almost surely, 2^72115320336 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 72115320336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100260249600).

72115320336 is an abundant number, since it is smaller than the sum of its proper divisors (128405178864).

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

72115320336 is a wasteful number, since it uses less digits than its factorization.

72115320336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13357 (or 13351 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 72115320336 in words is "seventy-two billion, one hundred fifteen million, three hundred twenty thousand, three hundred thirty-six".