79568352 has 192 divisors, whose sum is σ = 252806400. Its totient is φ = 24261120.

The previous prime is 79568341. The next prime is 79568353. The reversal of 79568352 is 25386597.

It is a happy number.

It is a super-2 number, since 2×79568352² = 12662245279991808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79568298 and 79568307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79568353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607327 + ... + 607457.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 2^79568352 is an apocalyptic number.

79568352 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 79568352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

79568352 is an abundant number, since it is smaller than the sum of its proper divisors (173238048).

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

79568352 is a wasteful number, since it uses less digits than its factorization.

79568352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 79568352 is about 8920.1094163693. The cubic root of 79568352 is about 430.1105754929.

The spelling of 79568352 in words is "seventy-nine million, five hundred sixty-eight thousand, three hundred fifty-two".