79128 has 48 divisors (see below), whose sum is σ = 246480. Its totient is φ = 22464.

The previous prime is 79111. The next prime is 79133. The reversal of 79128 is 82197.

It is a super-2 number, since 2×79128² = 12522480768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

79128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 426 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (5135).

2⁷⁹¹²⁸ 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 79128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123240).

79128 is an abundant number, since it is smaller than the sum of its proper divisors (167352).

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

79128 is a wasteful number, since it uses less digits than its factorization.

79128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 79128 is about 281.2969960735. The cubic root of 79128 is about 42.9315659248.

The spelling of 79128 in words is "seventy-nine thousand, one hundred twenty-eight".