79078272 has 256 divisors, whose sum is σ = 270520320. Its totient is φ = 19906560.

The previous prime is 79078261. The next prime is 79078283. The reversal of 79078272 is 27287097.

It is an interprime number because it is at equal distance from previous prime (79078261) and next prime (79078283).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083228 + ... + 1083300.

It is an arithmetic number, because the mean of its divisors is an integer number (1056720).

Almost surely, 2^79078272 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 79078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135260160).

79078272 is an abundant number, since it is smaller than the sum of its proper divisors (191442048).

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

79078272 is a wasteful number, since it uses less digits than its factorization.

79078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 79078272 is about 8892.5964712226. The cubic root of 79078272 is about 429.2257059109.

The spelling of 79078272 in words is "seventy-nine million, seventy-eight thousand, two hundred seventy-two".