72416315715312 has 80 divisors (see below), whose sum is σ = 196969147632000. Its totient is φ = 22862783953152.

The previous prime is 72416315715311. The next prime is 72416315715323. The reversal of 72416315715312 is 21351751361427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416315715311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5817387 + ... + 13366922.

It is an arithmetic number, because the mean of its divisors is an integer number (2462114345400).

Almost surely, 2^{72416315715312} is an apocalyptic number.

It is an amenable number.

72416315715312 is an abundant number, since it is smaller than the sum of its proper divisors (124552831916688).

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

72416315715312 is a wasteful number, since it uses less digits than its factorization.

72416315715312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19188478 (or 19188472 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The spelling of 72416315715312 in words is "seventy-two trillion, four hundred sixteen billion, three hundred fifteen million, seven hundred fifteen thousand, three hundred twelve".