72949218146 has 48 divisors (see below), whose sum is σ = 134034341760. Its totient is φ = 29608316640.

The previous prime is 72949218137. The next prime is 72949218157. The reversal of 72949218146 is 64181294927.

It is a super-2 number, since 2×72949218146² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7948016 + ... + 7957188.

It is an arithmetic number, because the mean of its divisors is an integer number (2792382120).

Almost surely, 2^72949218146 is an apocalyptic number.

72949218146 is a deficient number, since it is larger than the sum of its proper divisors (61085123614).

72949218146 is a wasteful number, since it uses less digits than its factorization.

72949218146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13479 (or 13472 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 53.

The spelling of 72949218146 in words is "seventy-two billion, nine hundred forty-nine million, two hundred eighteen thousand, one hundred forty-six".