4972200 has 48 divisors (see below), whose sum is σ = 15415680. Its totient is φ = 1325760.

The previous prime is 4972199. The next prime is 4972207. The reversal of 4972200 is 22794.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4972207) 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 11 ways as a sum of consecutive naturals, for example, 3544 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (321160).

Almost surely, 2^4972200 is an apocalyptic number.

4972200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4972200 is an abundant number, since it is smaller than the sum of its proper divisors (10443480).

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

4972200 is a wasteful number, since it uses less digits than its factorization.

4972200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4972200 is about 2229.8430438038. The cubic root of 4972200 is about 170.6800899544.

Adding to 4972200 its reverse (22794), we get a palindrome (4994994).

The spelling of 4972200 in words is "four million, nine hundred seventy-two thousand, two hundred".