27152 has 10 divisors (see below), whose sum is σ = 52638. Its totient is φ = 13568.

The previous prime is 27143. The next prime is 27179. The reversal of 27152 is 25172.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 256 = 164^2 + 16^2 .

It is a super-2 number, since 2×27152² = 1474462208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27152.

It is an unprimeable number.

27152 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 as a sum of consecutive naturals, namely, 833 + ... + 864.

2²⁷¹⁵² is an apocalyptic number.

It is an amenable number.

27152 is a deficient number, since it is larger than the sum of its proper divisors (25486).

27152 is a wasteful number, since it uses less digits than its factorization.

27152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1699 counting only the distinct ones).

The product of its digits is 140, while the sum is 17.

The square root of 27152 is about 164.7786393924. The cubic root of 27152 is about 30.0561909830.

It can be divided in two parts, 271 and 52, that added together give a palindrome (323).

The spelling of 27152 in words is "twenty-seven thousand, one hundred fifty-two".