79752168 has 128 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 24302592.

The previous prime is 79752163. The next prime is 79752173. The reversal of 79752168 is 86125797.

It is an interprime number because it is at equal distance from previous prime (79752163) and next prime (79752173).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79752161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 135571 + ... + 136157.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2^79752168 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 79752168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

79752168 is an abundant number, since it is smaller than the sum of its proper divisors (161563032).

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

79752168 is a wasteful number, since it uses less digits than its factorization.

79752168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 79752168 is about 8930.4069336173. The cubic root of 79752168 is about 430.4415295305.

The spelling of 79752168 in words is "seventy-nine million, seven hundred fifty-two thousand, one hundred sixty-eight".