72766838898672 has 80 divisors (see below), whose sum is σ = 189857827026720. Its totient is φ = 24013481344000.

The previous prime is 72766838898643. The next prime is 72766838898833. The reversal of 72766838898672 is 27689883866727.

72766838898672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58868422 + ... + 60091802.

It is an arithmetic number, because the mean of its divisors is an integer number (2373222837834).

Almost surely, 2^{72766838898672} 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 72766838898672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94928913513360).

72766838898672 is an abundant number, since it is smaller than the sum of its proper divisors (117090988128048).

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

72766838898672 is a wasteful number, since it uses less digits than its factorization.

72766838898672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235762 (or 1235756 counting only the distinct ones).

The product of its digits is 32774160384, while the sum is 87.

The spelling of 72766838898672 in words is "seventy-two trillion, seven hundred sixty-six billion, eight hundred thirty-eight million, eight hundred ninety-eight thousand, six hundred seventy-two".