4752200 has 24 divisors (see below), whose sum is σ = 11049330. Its totient is φ = 1900800.

The previous prime is 4752199. The next prime is 4752221. The reversal of 4752200 is 22574.

It can be written as a sum of positive squares in 3 ways, for example, as 3632836 + 1119364 = 1906^2 + 1058^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 11681 + ... + 12080.

Almost surely, 2^4752200 is an apocalyptic number.

4752200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4752200 is an abundant number, since it is smaller than the sum of its proper divisors (6297130).

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

4752200 is a wasteful number, since it uses less digits than its factorization.

4752200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23777 (or 23768 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4752200 is about 2179.9541279577. The cubic root of 4752200 is about 168.1247184252.

Adding to 4752200 its reverse (22574), we get a palindrome (4774774).

The spelling of 4752200 in words is "four million, seven hundred fifty-two thousand, two hundred".