79013302272 has 312 divisors, whose sum is σ = 239042408904. Its totient is φ = 25119424512.

The previous prime is 79013302261. The next prime is 79013302327. The reversal of 79013302272 is 27220331097.

79013302272 is a `hidden beast` number, since 79 + 0 + 13 + 302 + 272 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60586868736 + 18426433536 = 246144^2 + 135744^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72289758 + ... + 72290850.

It is an arithmetic number, because the mean of its divisors is an integer number (766161567).

Almost surely, 2^79013302272 is an apocalyptic number.

79013302272 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 79013302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119521204452).

79013302272 is an abundant number, since it is smaller than the sum of its proper divisors (160029106632).

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

79013302272 is a wasteful number, since it uses less digits than its factorization.

79013302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 79013302272 in words is "seventy-nine billion, thirteen million, three hundred two thousand, two hundred seventy-two".