72999912960 has 640 divisors, whose sum is σ = 281760716160. Its totient is φ = 17807966208.

The previous prime is 72999912943. The next prime is 72999912971. The reversal of 72999912960 is 6921999927.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123102424 + ... + 123103016.

It is an arithmetic number, because the mean of its divisors is an integer number (440251119).

Almost surely, 2^72999912960 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 72999912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140880358080).

72999912960 is an abundant number, since it is smaller than the sum of its proper divisors (208760803200).

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

72999912960 is a wasteful number, since it uses less digits than its factorization.

72999912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The spelling of 72999912960 in words is "seventy-two billion, nine hundred ninety-nine million, nine hundred twelve thousand, nine hundred sixty".