57750 has 64 divisors (see below), whose sum is σ = 179712. Its totient is φ = 12000.

The previous prime is 57737. The next prime is 57751. The reversal of 57750 is 5775.

57750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 57750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245 + ... + 5255.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2⁵⁷⁷⁵⁰ is an apocalyptic number.

57750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89856).

57750 is an abundant number, since it is smaller than the sum of its proper divisors (121962).

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

57750 is a wasteful number, since it uses less digits than its factorization.

57750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 57750 is about 240.3122968140. The cubic root of 57750 is about 38.6530702626.

The spelling of 57750 in words is "fifty-seven thousand, seven hundred fifty".