79152 has 40 divisors (see below), whose sum is σ = 218736. Its totient is φ = 24576.

The previous prime is 79151. The next prime is 79153. The reversal of 79152 is 25197.

It is an interprime number because it is at equal distance from previous prime (79151) and next prime (79153).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (79151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768 + ... + 864.

2⁷⁹¹⁵² 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 79152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368).

79152 is an abundant number, since it is smaller than the sum of its proper divisors (139584).

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

79152 is a wasteful number, since it uses less digits than its factorization.

79152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 79152 is about 281.3396523777. The cubic root of 79152 is about 42.9359059537.

It can be divided in two parts, 79 and 152, that added together give a triangular number (231 = T₂₁).

The spelling of 79152 in words is "seventy-nine thousand, one hundred fifty-two".