27744 has 36 divisors (see below), whose sum is σ = 77364. Its totient is φ = 8704.

The previous prime is 27743. The next prime is 27749. The reversal of 27744 is 44772.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27744.

It is not an unprimeable number, because it can be changed into a prime (27743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1624 + ... + 1640.

It is an arithmetic number, because the mean of its divisors is an integer number (2149).

2²⁷⁷⁴⁴ is an apocalyptic number.

27744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38682).

27744 is an abundant number, since it is smaller than the sum of its proper divisors (49620).

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

27744 is a wasteful number, since it uses less digits than its factorization.

27744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 22 counting only the distinct ones).

The product of its digits is 1568, while the sum is 24.

The square root of 27744 is about 166.5653025093. The cubic root of 27744 is about 30.2730625757.

Multiplying 27744 by its sum of digits (24), we get a square (665856 = 816²).

27744 divided by its sum of digits (24) gives a square (1156 = 34²).

The spelling of 27744 in words is "twenty-seven thousand, seven hundred forty-four", and thus it is an iban number.