56775200 has 36 divisors (see below), whose sum is σ = 138604410. Its totient is φ = 22709760.

The previous prime is 56775193. The next prime is 56775209. The reversal of 56775200 is 257765.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 28344976 + 28430224 = 5324^2 + 5332^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (56775209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34685 + ... + 36284.

Almost surely, 2^56775200 is an apocalyptic number.

56775200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56775200 is an abundant number, since it is smaller than the sum of its proper divisors (81829210).

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

56775200 is a wasteful number, since it uses less digits than its factorization.

56775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70989 (or 70976 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 56775200 is about 7534.9319837673. The cubic root of 56775200 is about 384.3435149481.

The spelling of 56775200 in words is "fifty-six million, seven hundred seventy-five thousand, two hundred".