72679846512 has 320 divisors, whose sum is σ = 239266463744. Its totient is φ = 18498170880.

The previous prime is 72679846493. The next prime is 72679846523. The reversal of 72679846512 is 21564897627.

It is a happy number.

It is a super-2 number, since 2×72679846512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20523462 + ... + 20527002.

Almost surely, 2^72679846512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72679846512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119633231872).

72679846512 is an abundant number, since it is smaller than the sum of its proper divisors (166586617232).

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

72679846512 is a wasteful number, since it uses less digits than its factorization.

72679846512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3730 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 72679846512 in words is "seventy-two billion, six hundred seventy-nine million, eight hundred forty-six thousand, five hundred twelve".