72844850131768 has 192 divisors, whose sum is σ = 162135520192800. Its totient is φ = 30477884236800.

The previous prime is 72844850131721. The next prime is 72844850131877. The reversal of 72844850131768 is 86713105844827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11619848538 + ... + 11619854806.

Almost surely, 2^{72844850131768} 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 72844850131768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81067760096400).

72844850131768 is an abundant number, since it is smaller than the sum of its proper divisors (89290670061032).

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

72844850131768 is a wasteful number, since it uses less digits than its factorization.

72844850131768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 64.

The spelling of 72844850131768 in words is "seventy-two trillion, eight hundred forty-four billion, eight hundred fifty million, one hundred thirty-one thousand, seven hundred sixty-eight".