72837976680 has 672 divisors, whose sum is σ = 300988591200. Its totient is φ = 15766555392.

The previous prime is 72837976667. The next prime is 72837976723. The reversal of 72837976680 is 8667973827.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27146619 + ... + 27149301.

Almost surely, 2^72837976680 is an apocalyptic number.

72837976680 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 72837976680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150494295600).

72837976680 is an abundant number, since it is smaller than the sum of its proper divisors (228150614520).

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

72837976680 is a wasteful number, since it uses less digits than its factorization.

72837976680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 72837976680 in words is "seventy-two billion, eight hundred thirty-seven million, nine hundred seventy-six thousand, six hundred eighty".