111792 has 40 divisors (see below), whose sum is σ = 308016. Its totient is φ = 34816.

The previous prime is 111791. The next prime is 111799. The reversal of 111792 is 297111.

It is not an unprimeable number, because it can be changed into a prime (111791) 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, 748 + ... + 884.

2¹¹¹⁷⁹² is an apocalyptic number.

111792 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 111792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154008).

111792 is an abundant number, since it is smaller than the sum of its proper divisors (196224).

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

111792 is a wasteful number, since it uses less digits than its factorization.

111792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 126, while the sum is 21.

The square root of 111792 is about 334.3531067599. The cubic root of 111792 is about 48.1729869355.

It can be divided in two parts, 111 and 792, that added together give a triangular number (903 = T₄₂).

The spelling of 111792 in words is "one hundred eleven thousand, seven hundred ninety-two".