72631659520 has 704 divisors, whose sum is σ = 226155442176. Its totient is φ = 21799895040.

The previous prime is 72631659511. The next prime is 72631659521. The reversal of 72631659520 is 2595613627.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (72631659521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 994954204 + ... + 994954276.

Almost surely, 2^72631659520 is an apocalyptic number.

72631659520 is a gapful number since it is divisible by the number (70) 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 72631659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113077721088).

72631659520 is an abundant number, since it is smaller than the sum of its proper divisors (153523782656).

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

72631659520 is a wasteful number, since it uses less digits than its factorization.

72631659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 72631659520 in words is "seventy-two billion, six hundred thirty-one million, six hundred fifty-nine thousand, five hundred twenty".