25792 has 28 divisors (see below), whose sum is σ = 56896. Its totient is φ = 11520.

The previous prime is 25771. The next prime is 25793. The reversal of 25792 is 29752.

25792 is nontrivially palindromic in base 15.

It is an Ulam number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (25793) by changing a digit.

25792 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 817 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (2032).

2²⁵⁷⁹² 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 25792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28448).

25792 is an abundant number, since it is smaller than the sum of its proper divisors (31104).

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

25792 is a wasteful number, since it uses less digits than its factorization.

25792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 25792 is about 160.5988791991. The cubic root of 25792 is about 29.5457491812.

The spelling of 25792 in words is "twenty-five thousand, seven hundred ninety-two".