72200916768 has 48 divisors (see below), whose sum is σ = 192739750560. Its totient is φ = 23659055616.

The previous prime is 72200916763. The next prime is 72200916779. The reversal of 72200916768 is 86761900227.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72200916763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6368005 + ... + 6379332.

It is an arithmetic number, because the mean of its divisors is an integer number (4015411470).

Almost surely, 2^72200916768 is an apocalyptic number.

It is an amenable number.

72200916768 is an abundant number, since it is smaller than the sum of its proper divisors (120538833792).

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

72200916768 is a wasteful number, since it uses less digits than its factorization.

72200916768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747409 (or 12747401 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 72200916768 in words is "seventy-two billion, two hundred million, nine hundred sixteen thousand, seven hundred sixty-eight".