27252 has 18 divisors (see below), whose sum is σ = 68978. Its totient is φ = 9072.

The previous prime is 27241. The next prime is 27253. The reversal of 27252 is 25272.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 2916 = 156^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27253) by changing a digit.

27252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 343 + ... + 414.

2²⁷²⁵² is an apocalyptic number.

It is an amenable number.

27252 is an abundant number, since it is smaller than the sum of its proper divisors (41726).

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

27252 is a wasteful number, since it uses less digits than its factorization.

27252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 762 counting only the distinct ones).

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

The square root of 27252 is about 165.0817979064. The cubic root of 27252 is about 30.0930444593.

It can be divided in two parts, 272 and 52, that added together give a square (324 = 18²).

The spelling of 27252 in words is "twenty-seven thousand, two hundred fifty-two".