57792 has 56 divisors (see below), whose sum is σ = 178816. Its totient is φ = 16128.

The previous prime is 57791. The next prime is 57793. The reversal of 57792 is 29775.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57791) and next prime (57793).

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57791) 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, 1323 + ... + 1365.

2⁵⁷⁷⁹² 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 57792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89408).

57792 is an abundant number, since it is smaller than the sum of its proper divisors (121024).

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

57792 is a wasteful number, since it uses less digits than its factorization.

57792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 57792 is about 240.3996672211. The cubic root of 57792 is about 38.6624384332.

The spelling of 57792 in words is "fifty-seven thousand, seven hundred ninety-two".