56707200 has 288 divisors, whose sum is σ = 221972400. Its totient is φ = 13670400.

The previous prime is 56707187. The next prime is 56707219. The reversal of 56707200 is 270765.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316711 + ... + 316889.

Almost surely, 2^56707200 is an apocalyptic number.

56707200 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 56707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110986200).

56707200 is an abundant number, since it is smaller than the sum of its proper divisors (165265200).

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

56707200 is a wasteful number, since it uses less digits than its factorization.

56707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 56707200 is about 7530.4183150739. The cubic root of 56707200 is about 384.1900101307.

Adding to 56707200 its reverse (270765), we get a palindrome (56977965).

The spelling of 56707200 in words is "fifty-six million, seven hundred seven thousand, two hundred".