79352 has 32 divisors (see below), whose sum is σ = 184800. Its totient is φ = 31104.

The previous prime is 79349. The next prime is 79357. The reversal of 79352 is 25397.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 7³ + 9³ + 3³ + 5⁷ + 2⁷ .

Its product of digits (1890) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (5775).

2⁷⁹³⁵² 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 79352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92400).

79352 is an abundant number, since it is smaller than the sum of its proper divisors (105448).

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

79352 is a wasteful number, since it uses less digits than its factorization.

79352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 79352 is about 281.6948703828. The cubic root of 79352 is about 42.9720387896.

The spelling of 79352 in words is "seventy-nine thousand, three hundred fifty-two".