112992 has 48 divisors (see below), whose sum is σ = 326592. Its totient is φ = 33920.

The previous prime is 112979. The next prime is 112997. The reversal of 112992 is 299211.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2¹¹²⁹⁹² is an apocalyptic number.

112992 is a gapful number since it is divisible by the number (12) 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 112992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296).

112992 is an abundant number, since it is smaller than the sum of its proper divisors (213600).

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

112992 is a wasteful number, since it uses less digits than its factorization.

112992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 112992 is about 336.1428267865. The cubic root of 112992 is about 48.3447403384.

It can be divided in two parts, 1129 and 92, that added together give a palindrome (1221).

The spelling of 112992 in words is "one hundred twelve thousand, nine hundred ninety-two".