27756 has 24 divisors (see below), whose sum is σ = 72240. Its totient is φ = 9216.

The previous prime is 27751. The next prime is 27763. The reversal of 27756 is 65772.

Added to its reverse (65772) it gives a triangular number (93528 = T₄₃₂).

27756 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

27756 is an undulating number in base 16.

It is a nialpdrome in base 13.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (3010).

2²⁷⁷⁵⁶ 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 27756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36120).

27756 is an abundant number, since it is smaller than the sum of its proper divisors (44484).

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

27756 is a wasteful number, since it uses less digits than its factorization.

27756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 27756 is about 166.6013205230. The cubic root of 27756 is about 30.2774265749.

Adding to 27756 its reverse (65772), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 277 and 56, that added together give a palindrome (333).

The spelling of 27756 in words is "twenty-seven thousand, seven hundred fifty-six".