113792 has 32 divisors (see below), whose sum is σ = 261120. Its totient is φ = 48384.

The previous prime is 113783. The next prime is 113797. The reversal of 113792 is 297311.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (113797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 833 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (8160).

2¹¹³⁷⁹² 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 113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130560).

113792 is an abundant number, since it is smaller than the sum of its proper divisors (147328).

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

113792 is an equidigital number, since it uses as much as digits as its factorization.

113792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 113792 is about 337.3306982769. The cubic root of 113792 is about 48.4585680810.

The spelling of 113792 in words is "one hundred thirteen thousand, seven hundred ninety-two".