72157081536 has 336 divisors, whose sum is σ = 224860652640. Its totient is φ = 22038773760.

The previous prime is 72157081531. The next prime is 72157081547. The reversal of 72157081536 is 63518075127.

It is a happy number.

72157081536 is a `hidden beast` number, since 7 + 21 + 570 + 8 + 1 + 53 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72157081491 and 72157081500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72157081531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63911820 + ... + 63912948.

Almost surely, 2^72157081536 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 72157081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112430326320).

72157081536 is an abundant number, since it is smaller than the sum of its proper divisors (152703571104).

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

72157081536 is a wasteful number, since it uses less digits than its factorization.

72157081536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 72157081536 in words is "seventy-two billion, one hundred fifty-seven million, eighty-one thousand, five hundred thirty-six".