72880799980800 has 864 divisors, whose sum is σ = 284661522996480. Its totient is φ = 16076124979200.

The previous prime is 72880799980789. The next prime is 72880799980819. The reversal of 72880799980800 is 808999708827.

It is a super-2 number, since 2×72880799980800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434431336 + ... + 434599064.

It is an arithmetic number, because the mean of its divisors is an integer number (329469355320).

Almost surely, 2^{72880799980800} is an apocalyptic number.

72880799980800 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 72880799980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142330761498240).

72880799980800 is an abundant number, since it is smaller than the sum of its proper divisors (211780723015680).

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

72880799980800 is a wasteful number, since it uses less digits than its factorization.

72880799980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167879 (or 167860 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 75.

The spelling of 72880799980800 in words is "seventy-two trillion, eight hundred eighty billion, seven hundred ninety-nine million, nine hundred eighty thousand, eight hundred".