56787200 has 108 divisors (see below), whose sum is σ = 148271760. Its totient is φ = 21473280.

The previous prime is 56787187. The next prime is 56787239. The reversal of 56787200 is 278765.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121367 + ... + 121833.

Almost surely, 2^56787200 is an apocalyptic number.

56787200 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 56787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74135880).

56787200 is an abundant number, since it is smaller than the sum of its proper divisors (91484560).

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

56787200 is a wasteful number, since it uses less digits than its factorization.

56787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 56787200 is about 7535.7282328916. The cubic root of 56787200 is about 384.3705913082.

The spelling of 56787200 in words is "fifty-six million, seven hundred eighty-seven thousand, two hundred".