25762 has 8 divisors (see below), whose sum is σ = 42192. Its totient is φ = 11700.

The previous prime is 25759. The next prime is 25763. The reversal of 25762 is 26752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 1171 = 25762 / (2 + 5 + 7 + 6 + 2).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (25763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 564 + ... + 607.

It is an arithmetic number, because the mean of its divisors is an integer number (5274).

2²⁵⁷⁶² is an apocalyptic number.

25762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

25762 is a deficient number, since it is larger than the sum of its proper divisors (16430).

25762 is a wasteful number, since it uses less digits than its factorization.

25762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184.

The product of its digits is 840, while the sum is 22.

The square root of 25762 is about 160.5054516208. The cubic root of 25762 is about 29.5342893441.

Subtracting 25762 from its reverse (26752), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 25 and 762, that added together give a palindrome (787).

The spelling of 25762 in words is "twenty-five thousand, seven hundred sixty-two".