57271200 has 216 divisors, whose sum is σ = 217298592. Its totient is φ = 13063680.

The previous prime is 57271199. The next prime is 57271211. The reversal of 57271200 is 217275.

57271200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117357 + ... + 117843.

It is an arithmetic number, because the mean of its divisors is an integer number (1006012).

Almost surely, 2^57271200 is an apocalyptic number.

57271200 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 57271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108649296).

57271200 is an abundant number, since it is smaller than the sum of its proper divisors (160027392).

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

57271200 is a wasteful number, since it uses less digits than its factorization.

57271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 57271200 is about 7567.7737809742. The cubic root of 57271200 is about 385.4595064466.

Adding to 57271200 its reverse (217275), we get a palindrome (57488475).

The spelling of 57271200 in words is "fifty-seven million, two hundred seventy-one thousand, two hundred".