72242606937664 has 28 divisors (see below), whose sum is σ = 143527289068800. Its totient is φ = 36078250636928.

The previous prime is 72242606937623. The next prime is 72242606937671. The reversal of 72242606937664 is 46673960624227.

It is a happy number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 72242606937596 and 72242606937605.

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 3 ways as a sum of consecutive naturals, for example, 672646384 + ... + 672753775.

It is an arithmetic number, because the mean of its divisors is an integer number (5125974609600).

Almost surely, 2^{72242606937664} is an apocalyptic number.

It is an amenable number.

72242606937664 is a deficient number, since it is larger than the sum of its proper divisors (71284682131136).

72242606937664 is a wasteful number, since it uses less digits than its factorization.

72242606937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345401010 (or 1345401000 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 64.

The spelling of 72242606937664 in words is "seventy-two trillion, two hundred forty-two billion, six hundred six million, nine hundred thirty-seven thousand, six hundred sixty-four".