6721200 has 90 divisors (see below), whose sum is σ = 23336924. Its totient is φ = 1791360.

The previous prime is 6721199. The next prime is 6721207. The reversal of 6721200 is 21276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6721207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2667 + ... + 4533.

Almost surely, 2^6721200 is an apocalyptic number.

6721200 is a gapful number since it is divisible by the number (60) 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 6721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11668462).

6721200 is an abundant number, since it is smaller than the sum of its proper divisors (16615724).

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

6721200 is a wasteful number, since it uses less digits than its factorization.

6721200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 6721200 is about 2592.5277240562. The cubic root of 6721200 is about 188.7189911488.

Adding to 6721200 its reverse (21276), we get a palindrome (6742476).

The spelling of 6721200 in words is "six million, seven hundred twenty-one thousand, two hundred".