72967133680 has 160 divisors (see below), whose sum is σ = 195038409600. Its totient is φ = 24868945920.

The previous prime is 72967133669. The next prime is 72967133693. The reversal of 72967133680 is 8633176927.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 130999962 + ... + 131000518.

It is an arithmetic number, because the mean of its divisors is an integer number (1218990060).

Almost surely, 2^72967133680 is an apocalyptic number.

72967133680 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 72967133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97519204800).

72967133680 is an abundant number, since it is smaller than the sum of its proper divisors (122071275920).

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

72967133680 is a wasteful number, since it uses less digits than its factorization.

72967133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 72967133680 in words is "seventy-two billion, nine hundred sixty-seven million, one hundred thirty-three thousand, six hundred eighty".