11792 has 20 divisors (see below), whose sum is σ = 25296. Its totient is φ = 5280.

The previous prime is 11789. The next prime is 11801. The reversal of 11792 is 29711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143 + ... + 209.

2¹¹⁷⁹² 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 11792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648).

11792 is an abundant number, since it is smaller than the sum of its proper divisors (13504).

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

11792 is a wasteful number, since it uses less digits than its factorization.

11792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 126, while the sum is 20.

The square root of 11792 is about 108.5909756840. The cubic root of 11792 is about 22.7612350416.

The spelling of 11792 in words is "eleven thousand, seven hundred ninety-two".