56275200 has 162 divisors, whose sum is σ = 201402474. Its totient is φ = 14991360.

The previous prime is 56275157. The next prime is 56275201. The reversal of 56275200 is 257265.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 42614784 = 3696^2 + 6528^2 .

It is not an unprimeable number, because it can be changed into a prime (56275201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57112 + ... + 58088.

Almost surely, 2^56275200 is an apocalyptic number.

56275200 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 56275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100701237).

56275200 is an abundant number, since it is smaller than the sum of its proper divisors (145127274).

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

56275200 is a wasteful number, since it uses less digits than its factorization.

56275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 56275200 is about 7501.6798118821. The cubic root of 56275200 is about 383.2119254253.

The spelling of 56275200 in words is "fifty-six million, two hundred seventy-five thousand, two hundred".