72412926912 has 336 divisors, whose sum is σ = 230858933760. Its totient is φ = 22423744512.

The previous prime is 72412926907. The next prime is 72412926979. The reversal of 72412926912 is 21962921427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20884603 + ... + 20888069.

It is an arithmetic number, because the mean of its divisors is an integer number (687080160).

Almost surely, 2^72412926912 is an apocalyptic number.

72412926912 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 72412926912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115429466880).

72412926912 is an abundant number, since it is smaller than the sum of its proper divisors (158446006848).

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

72412926912 is a wasteful number, since it uses less digits than its factorization.

72412926912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3568 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 72412926912 in words is "seventy-two billion, four hundred twelve million, nine hundred twenty-six thousand, nine hundred twelve".