27552 has 48 divisors (see below), whose sum is σ = 84672. Its totient is φ = 7680.

The previous prime is 27551. The next prime is 27581. The reversal of 27552 is 25572.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×27552² = 1518225408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (27551) 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 in 7 ways as a sum of consecutive naturals, for example, 652 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2²⁷⁵⁵² 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 27552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

27552 is an abundant number, since it is smaller than the sum of its proper divisors (57120).

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

27552 is a wasteful number, since it uses less digits than its factorization.

27552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its digits is 700, while the sum is 21.

The square root of 27552 is about 165.9879513700. The cubic root of 27552 is about 30.2030668055.

The spelling of 27552 in words is "twenty-seven thousand, five hundred fifty-two".