57744 has 30 divisors (see below), whose sum is σ = 162006. Its totient is φ = 19200.

The previous prime is 57737. The next prime is 57751. The reversal of 57744 is 44775.

It is an interprime number because it is at equal distance from previous prime (57737) and next prime (57751).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 144 = 240^2 + 12^2 .

It is an unprimeable number.

57744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57 + ... + 344.

2⁵⁷⁷⁴⁴ 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 57744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81003).

57744 is an abundant number, since it is smaller than the sum of its proper divisors (104262).

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

57744 is a wasteful number, since it uses less digits than its factorization.

57744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 57744 is about 240.2998127340. The cubic root of 57744 is about 38.6517315817.

Subtracting from 57744 its product of digits (3920), we obtain a square (53824 = 232²).

It can be divided in two parts, 5774 and 4, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 57744 in words is "fifty-seven thousand, seven hundred forty-four".