72613637372136 has 128 divisors (see below), whose sum is σ = 208562522112000. Its totient is φ = 20637264011520.

The previous prime is 72613637372051. The next prime is 72613637372167. The reversal of 72613637372136 is 63127373631627.

It is a happy number.

72613637372136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 1503394915 + ... + 1503443213.

It is an arithmetic number, because the mean of its divisors is an integer number (1629394704000).

Almost surely, 2^{72613637372136} 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 72613637372136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104281261056000).

72613637372136 is an abundant number, since it is smaller than the sum of its proper divisors (135948884739864).

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

72613637372136 is a wasteful number, since it uses less digits than its factorization.

72613637372136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95359 (or 95355 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 57.

The spelling of 72613637372136 in words is "seventy-two trillion, six hundred thirteen billion, six hundred thirty-seven million, three hundred seventy-two thousand, one hundred thirty-six".