72417563257312 has 96 divisors (see below), whose sum is σ = 175477580070912. Its totient is φ = 28648011861504.

The previous prime is 72417563257301. The next prime is 72417563257357. The reversal of 72417563257312 is 21375236571427.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 129430063 + ... + 129988369.

It is an arithmetic number, because the mean of its divisors is an integer number (1827891459072).

Almost surely, 2^{72417563257312} is an apocalyptic number.

It is an amenable number.

72417563257312 is an abundant number, since it is smaller than the sum of its proper divisors (103060016813600).

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

72417563257312 is a wasteful number, since it uses less digits than its factorization.

72417563257312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602880 (or 602872 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 55.

The spelling of 72417563257312 in words is "seventy-two trillion, four hundred seventeen billion, five hundred sixty-three million, two hundred fifty-seven thousand, three hundred twelve".