56753200 has 60 divisors (see below), whose sum is σ = 155835760. Its totient is φ = 19457280.

The previous prime is 56753197. The next prime is 56753231. The reversal of 56753200 is 235765.

56753200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7335 + ... + 12934.

Almost surely, 2^56753200 is an apocalyptic number.

56753200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56753200 is an abundant number, since it is smaller than the sum of its proper divisors (99082560).

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

56753200 is a wasteful number, since it uses less digits than its factorization.

56753200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20294 (or 20283 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 56753200 is about 7533.4719751254. The cubic root of 56753200 is about 384.2938650439.

Adding to 56753200 its reverse (235765), we get a palindrome (56988965).

It can be divided in two parts, 56753 and 200, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 56753200 in words is "fifty-six million, seven hundred fifty-three thousand, two hundred".