72074362312992 has 192 divisors, whose sum is σ = 204094736778240. Its totient is φ = 22139077248000.

The previous prime is 72074362312963. The next prime is 72074362313027. The reversal of 72074362312992 is 29921326347027.

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, 4614523359 + ... + 4614538977.

It is an arithmetic number, because the mean of its divisors is an integer number (1062993420720).

Almost surely, 2^{72074362312992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72074362312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102047368389120).

72074362312992 is an abundant number, since it is smaller than the sum of its proper divisors (132020374465248).

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

72074362312992 is a wasteful number, since it uses less digits than its factorization.

72074362312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21687 (or 21679 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 72074362312992 in words is "seventy-two trillion, seventy-four billion, three hundred sixty-two million, three hundred twelve thousand, nine hundred ninety-two".