57075200 has 240 divisors, whose sum is σ = 177592800. Its totient is φ = 18063360.

The previous prime is 57075181. The next prime is 57075211. The reversal of 57075200 is 257075.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 57075200.

It is a congruent number.

It is an unprimeable number.

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, 4390394 + ... + 4390406.

It is an arithmetic number, because the mean of its divisors is an integer number (739970).

Almost surely, 2^57075200 is an apocalyptic number.

57075200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88796400).

57075200 is an abundant number, since it is smaller than the sum of its proper divisors (120517600).

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

57075200 is an equidigital number, since it uses as much as digits as its factorization.

57075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 57075200 is about 7554.8130354099. The cubic root of 57075200 is about 385.0192827808.

It can be divided in two parts, 57075 and 200, that added together give a palindrome (57275).

The spelling of 57075200 in words is "fifty-seven million, seventy-five thousand, two hundred".