72992802816 has 288 divisors, whose sum is σ = 223050391200. Its totient is φ = 22932357120.

The previous prime is 72992802809. The next prime is 72992802821. The reversal of 72992802816 is 61820829927.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90003051 + ... + 90003861.

It is an arithmetic number, because the mean of its divisors is an integer number (774480525).

Almost surely, 2^72992802816 is an apocalyptic number.

72992802816 is a gapful number since it is divisible by the number (76) 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 72992802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111525195600).

72992802816 is an abundant number, since it is smaller than the sum of its proper divisors (150057588384).

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

72992802816 is a wasteful number, since it uses less digits than its factorization.

72992802816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 72992802816 in words is "seventy-two billion, nine hundred ninety-two million, eight hundred two thousand, eight hundred sixteen".