79252096 has 192 divisors, whose sum is σ = 214885440. Its totient is φ = 28385280.

The previous prime is 79252093. The next prime is 79252111. The reversal of 79252096 is 69025297.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (79252093) 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, 1843051 + ... + 1843093.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 2^79252096 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 79252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442720).

79252096 is an abundant number, since it is smaller than the sum of its proper divisors (135633344).

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

79252096 is a wasteful number, since it uses less digits than its factorization.

79252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 79252096 is about 8902.3646296925. The cubic root of 79252096 is about 429.5399731413.

The spelling of 79252096 in words is "seventy-nine million, two hundred fifty-two thousand, ninety-six".