72792695427072 has 312 divisors, whose sum is σ = 206282150814912. Its totient is φ = 22825481011200.

The previous prime is 72792695427043. The next prime is 72792695427079. The reversal of 72792695427072 is 27072459629727.

It is a junction number, because it is equal to n+sod(n) for n = 72792695426988 and 72792695427006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72792695427079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9627386172 + ... + 9627393732.

Almost surely, 2^{72792695427072} 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 72792695427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103141075407456).

72792695427072 is an abundant number, since it is smaller than the sum of its proper divisors (133489455387840).

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

72792695427072 is a wasteful number, since it uses less digits than its factorization.

72792695427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 69.

The spelling of 72792695427072 in words is "seventy-two trillion, seven hundred ninety-two billion, six hundred ninety-five million, four hundred twenty-seven thousand, seventy-two".