72957843792 has 180 divisors, whose sum is σ = 216696928500. Its totient is φ = 22897105920.

The previous prime is 72957843767. The next prime is 72957843809. The reversal of 72957843792 is 29734875927.

72957843792 is a `hidden beast` number, since 7 + 29 + 578 + 4 + 37 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59915290176 + 13042553616 = 244776^2 + 114204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5113084 + ... + 5127332.

It is an arithmetic number, because the mean of its divisors is an integer number (1203871825).

Almost surely, 2^72957843792 is an apocalyptic number.

72957843792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72957843792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108348464250).

72957843792 is an abundant number, since it is smaller than the sum of its proper divisors (143739084708).

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

72957843792 is a wasteful number, since it uses less digits than its factorization.

72957843792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14362 (or 14322 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 72957843792 in words is "seventy-two billion, nine hundred fifty-seven million, eight hundred forty-three thousand, seven hundred ninety-two".