57750144 has 64 divisors (see below), whose sum is σ = 156060000. Its totient is φ = 18916352.

The previous prime is 57750137. The next prime is 57750151. The reversal of 57750144 is 44105775.

It is an interprime number because it is at equal distance from previous prime (57750137) and next prime (57750151).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21382 + ... + 23930.

Almost surely, 2^57750144 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 57750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78030000).

57750144 is an abundant number, since it is smaller than the sum of its proper divisors (98309856).

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

57750144 is a wasteful number, since it uses less digits than its factorization.

57750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 57750144 is about 7599.3515512838. The cubic root of 57750144 is about 386.5310238978.

It can be divided in two parts, 577 and 50144, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 57750144 in words is "fifty-seven million, seven hundred fifty thousand, one hundred forty-four".