55703200 has 180 divisors, whose sum is σ = 164110590. Its totient is φ = 18439680.

The previous prime is 55703183. The next prime is 55703201. The reversal of 55703200 is 230755.

55703200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 41835024 + 13868176 = 6468^2 + 3724^2 .

It is not an unprimeable number, because it can be changed into a prime (55703201) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 1920786 + ... + 1920814.

Almost surely, 2^55703200 is an apocalyptic number.

55703200 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 55703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82055295).

55703200 is an abundant number, since it is smaller than the sum of its proper divisors (108407390).

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

55703200 is an equidigital number, since it uses as much as digits as its factorization.

55703200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 55703200 is about 7463.4576437466. The cubic root of 55703200 is about 381.9091365807.

Adding to 55703200 its reverse (230755), we get a palindrome (55933955).

The spelling of 55703200 in words is "fifty-five million, seven hundred three thousand, two hundred".