79992 has 48 divisors (see below), whose sum is σ = 238680. Its totient is φ = 24000.

The previous prime is 79987. The next prime is 79997. The reversal of 79992 is 29997.

It is an interprime number because it is at equal distance from previous prime (79987) and next prime (79997).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79997) by changing a digit.

79992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742 + ... + 842.

2⁷⁹⁹⁹² is an apocalyptic number.

79992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340).

79992 is an abundant number, since it is smaller than the sum of its proper divisors (158688).

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

79992 is a wasteful number, since it uses less digits than its factorization.

79992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 79992 is about 282.8285699854. The cubic root of 79992 is about 43.0872574630.

79992 divided by its sum of digits (36) gives a palindrome (2222).

It can be divided in two parts, 7999 and 2, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 79992 in words is "seventy-nine thousand, nine hundred ninety-two".