72950871168 has 96 divisors (see below), whose sum is σ = 239912861760. Its totient is φ = 20843103744.

The previous prime is 72950871167. The next prime is 72950871187. The reversal of 72950871168 is 86117805927.

72950871168 is a `hidden beast` number, since 7 + 2 + 9 + 508 + 71 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (72950871167) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4515180 + ... + 4531307.

It is an arithmetic number, because the mean of its divisors is an integer number (2499092310).

Almost surely, 2^72950871168 is an apocalyptic number.

It is an amenable number.

72950871168 is an abundant number, since it is smaller than the sum of its proper divisors (166961990592).

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

72950871168 is a wasteful number, since it uses less digits than its factorization.

72950871168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046514 (or 9046499 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 72950871168 in words is "seventy-two billion, nine hundred fifty million, eight hundred seventy-one thousand, one hundred sixty-eight".