79952 has 20 divisors (see below), whose sum is σ = 163680. Its totient is φ = 37728.

The previous prime is 79943. The next prime is 79967. The reversal of 79952 is 25997.

It is a congruent number.

It is an unprimeable number.

79952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2⁷⁹⁹⁵² 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 79952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

79952 is an abundant number, since it is smaller than the sum of its proper divisors (83728).

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

79952 is a wasteful number, since it uses less digits than its factorization.

79952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 5670, while the sum is 32.

The square root of 79952 is about 282.7578469291. The cubic root of 79952 is about 43.0800743378.

It can be divided in two parts, 7995 and 2, that added together give a palindrome (7997).

The spelling of 79952 in words is "seventy-nine thousand, nine hundred fifty-two".