25272 has 48 divisors (see below), whose sum is σ = 76440. Its totient is φ = 7776.

The previous prime is 25261. The next prime is 25301. The reversal of 25272 is 27252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁶ + 5⁴ + 2¹³ + 7 + 2¹⁴ .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

25272 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1938 + ... + 1950.

2²⁵²⁷² 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 25272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38220).

25272 is an abundant number, since it is smaller than the sum of its proper divisors (51168).

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

25272 is a wasteful number, since it uses less digits than its factorization.

25272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 18 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 25272 is about 158.9716955939. The cubic root of 25272 is about 29.3458394791.

Adding to 25272 its product of digits (280), we get a palindrome (25552).

It can be divided in two parts, 252 and 72, that added together give a square (324 = 18²).

The spelling of 25272 in words is "twenty-five thousand, two hundred seventy-two".