57753720 has 96 divisors (see below), whose sum is σ = 189231120. Its totient is φ = 15275520.

The previous prime is 57753697. The next prime is 57753721. The reversal of 57753720 is 2735775.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57753721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48735 + ... + 49905.

Almost surely, 2^57753720 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 57753720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94615560).

57753720 is an abundant number, since it is smaller than the sum of its proper divisors (131477400).

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

57753720 is a wasteful number, since it uses less digits than its factorization.

57753720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 57753720 is about 7599.5868308744. The cubic root of 57753720 is about 386.5390019813.

The spelling of 57753720 in words is "fifty-seven million, seven hundred fifty-three thousand, seven hundred twenty".