27752 has 8 divisors (see below), whose sum is σ = 52050. Its totient is φ = 13872.

The previous prime is 27751. The next prime is 27763. The reversal of 27752 is 25772.

It can be written as a sum of positive squares in only one way, i.e., 27556 + 196 = 166^2 + 14^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (27751) by changing a digit.

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 as a sum of consecutive naturals, namely, 1727 + ... + 1742.

2²⁷⁷⁵² is an apocalyptic number.

It is an amenable number.

27752 is a deficient number, since it is larger than the sum of its proper divisors (24298).

27752 is a wasteful number, since it uses less digits than its factorization.

27752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3471 counting only the distinct ones).

The product of its digits is 980, while the sum is 23.

The square root of 27752 is about 166.5893153837. The cubic root of 27752 is about 30.2759720483.

The spelling of 27752 in words is "twenty-seven thousand, seven hundred fifty-two".