15792 has 40 divisors (see below), whose sum is σ = 47616. Its totient is φ = 4416.

The previous prime is 15791. The next prime is 15797. The reversal of 15792 is 29751.

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 (15791) 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, 313 + ... + 359.

2¹⁵⁷⁹² is an apocalyptic number.

15792 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 15792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808).

15792 is an abundant number, since it is smaller than the sum of its proper divisors (31824).

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

15792 is a wasteful number, since it uses less digits than its factorization.

15792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 15792 is about 125.6662245792. Note that the first 3 decimals coincide. The cubic root of 15792 is about 25.0887512226.

The spelling of 15792 in words is "fifteen thousand, seven hundred ninety-two".