72804688000000 has 616 divisors, whose sum is σ = 199080995480640. Its totient is φ = 26391552000000.

The previous prime is 72804687999991. The next prime is 72804688000157. The reversal of 72804688000000 is 88640827.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 100143999637 + ... + 100144000363.

Almost surely, 2^{72804688000000} 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 72804688000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99540497740320).

72804688000000 is an abundant number, since it is smaller than the sum of its proper divisors (126276307480640).

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

72804688000000 is an frugal number, since it uses more digits than its factorization.

72804688000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 72804688000000 in words is "seventy-two trillion, eight hundred four billion, six hundred eighty-eight million", and thus it is an aban number.