74969082072 has 96 divisors (see below), whose sum is σ = 207270835200. Its totient is φ = 24472367808.

The previous prime is 74969082031. The next prime is 74969082073. The reversal of 74969082072 is 27028096947.

74969082072 is a `hidden beast` number, since 7 + 496 + 9 + 0 + 82 + 0 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74969082073) 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, 1083673 + ... + 1150775.

It is an arithmetic number, because the mean of its divisors is an integer number (2159071200).

Almost surely, 2^74969082072 is an apocalyptic number.

74969082072 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 74969082072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103635417600).

74969082072 is an abundant number, since it is smaller than the sum of its proper divisors (132301753128).

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

74969082072 is a wasteful number, since it uses less digits than its factorization.

74969082072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67437 (or 67430 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 74969082072 in words is "seventy-four billion, nine hundred sixty-nine million, eighty-two thousand, seventy-two".