57320200 has 72 divisors (see below), whose sum is σ = 155054250. Its totient is φ = 19649280.

The previous prime is 57320191. The next prime is 57320201. The reversal of 57320200 is 202375.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38118276 + 19201924 = 6174^2 + 4382^2 .

It is not an unprimeable number, because it can be changed into a prime (57320201) 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 17 ways as a sum of consecutive naturals, for example, 6876 + ... + 12724.

Almost surely, 2^57320200 is an apocalyptic number.

57320200 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 57320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77527125).

57320200 is an abundant number, since it is smaller than the sum of its proper divisors (97734050).

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

57320200 is a wasteful number, since it uses less digits than its factorization.

57320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 57320200 is about 7571.0105005871. The cubic root of 57320200 is about 385.5694053824.

Adding to 57320200 its reverse (202375), we get a palindrome (57522575).

The spelling of 57320200 in words is "fifty-seven million, three hundred twenty thousand, two hundred".