72625735468 has 24 divisors (see below), whose sum is σ = 149314450320. Its totient is φ = 30472336320.

The previous prime is 72625735423. The next prime is 72625735477. The reversal of 72625735468 is 86453752627.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 63483463 + ... + 63484606.

It is an arithmetic number, because the mean of its divisors is an integer number (6221435430).

Almost surely, 2^72625735468 is an apocalyptic number.

It is an amenable number.

72625735468 is an abundant number, since it is smaller than the sum of its proper divisors (76688714852).

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

72625735468 is a wasteful number, since it uses less digits than its factorization.

72625735468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126968097 (or 126968095 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 55.

The spelling of 72625735468 in words is "seventy-two billion, six hundred twenty-five million, seven hundred thirty-five thousand, four hundred sixty-eight".