72571906957824 has 240 divisors, whose sum is σ = 222047168428800. Its totient is φ = 22777580298240.

The previous prime is 72571906957757. The next prime is 72571906957841. The reversal of 72571906957824 is 42875960917527.

72571906957824 is a `hidden beast` number, since 7 + 25 + 7 + 1 + 9 + 0 + 6 + 9 + 578 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579974 + ... + 12150725.

It is an arithmetic number, because the mean of its divisors is an integer number (925196535120).

Almost surely, 2^{72571906957824} is an apocalyptic number.

72571906957824 is a gapful number since it is divisible by the number (74) 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 72571906957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111023584214400).

72571906957824 is an abundant number, since it is smaller than the sum of its proper divisors (149475261470976).

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

72571906957824 is a wasteful number, since it uses less digits than its factorization.

72571906957824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13730791 (or 13730772 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 72571906957824 in words is "seventy-two trillion, five hundred seventy-one billion, nine hundred six million, nine hundred fifty-seven thousand, eight hundred twenty-four".