79872 has 48 divisors (see below), whose sum is σ = 229320. Its totient is φ = 24576.

The previous prime is 79867. The next prime is 79873. The reversal of 79872 is 27897.

It is a tau number, because it is divible by the number of its divisors (48).

Its product of digits (7056) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6138 + ... + 6150.

2⁷⁹⁸⁷² 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 79872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660).

79872 is an abundant number, since it is smaller than the sum of its proper divisors (149448).

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

79872 is a wasteful number, since it uses less digits than its factorization.

79872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 18 counting only the distinct ones).

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

The square root of 79872 is about 282.6163477225. The cubic root of 79872 is about 43.0657008967.

The spelling of 79872 in words is "seventy-nine thousand, eight hundred seventy-two".