57427200 has 162 divisors, whose sum is σ = 205521134. Its totient is φ = 15298560.

The previous prime is 57427199. The next prime is 57427243. The reversal of 57427200 is 272475.

It can be written as a sum of positive squares in 3 ways, for example, as 10969344 + 46457856 = 3312^2 + 6816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57102 + ... + 58098.

Almost surely, 2^57427200 is an apocalyptic number.

57427200 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 57427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102760567).

57427200 is an abundant number, since it is smaller than the sum of its proper divisors (148093934).

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

57427200 is a wasteful number, since it uses less digits than its factorization.

57427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57427200 is about 7578.0736338465. The cubic root of 57427200 is about 385.8091712477.

Adding to 57427200 its reverse (272475), we get a palindrome (57699675).

The spelling of 57427200 in words is "fifty-seven million, four hundred twenty-seven thousand, two hundred".