72979408512 has 448 divisors, whose sum is σ = 228267585000. Its totient is φ = 23201095680.

The previous prime is 72979408471. The next prime is 72979408543. The reversal of 72979408512 is 21580497927.

It can be written as a sum of positive squares in 4 ways, for example, as 25479821376 + 47499587136 = 159624^2 + 217944^2 .

It is a super-2 number, since 2×72979408512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 403201062 + ... + 403201242.

Almost surely, 2^72979408512 is an apocalyptic number.

72979408512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72979408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114133792500).

72979408512 is an abundant number, since it is smaller than the sum of its proper divisors (155288176488).

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

72979408512 is a wasteful number, since it uses less digits than its factorization.

72979408512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 72979408512 in words is "seventy-two billion, nine hundred seventy-nine million, four hundred eight thousand, five hundred twelve".