79728 has 40 divisors (see below), whose sum is σ = 226176. Its totient is φ = 24000.

The previous prime is 79699. The next prime is 79757. The reversal of 79728 is 82797.

It is an interprime number because it is at equal distance from previous prime (79699) and next prime (79757).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 603.

2⁷⁹⁷²⁸ 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 79728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

79728 is an abundant number, since it is smaller than the sum of its proper divisors (146448).

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

79728 is a wasteful number, since it uses less digits than its factorization.

79728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 79728 is about 282.3614704594. The cubic root of 79728 is about 43.0398044979.

The spelling of 79728 in words is "seventy-nine thousand, seven hundred twenty-eight".