6723200 has 96 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 2432000.

The previous prime is 6723193. The next prime is 6723217. The reversal of 6723200 is 23276.

6723200 is nontrivially palindromic in base 7.

It is a super-3 number, since 3×6723200³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35105 + ... + 35295.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 2^6723200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

6723200 is an abundant number, since it is smaller than the sum of its proper divisors (11489920).

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

6723200 is a wasteful number, since it uses less digits than its factorization.

6723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 6723200 is about 2592.9134193027. The cubic root of 6723200 is about 188.7377080720.

Adding to 6723200 its reverse (23276), we get a palindrome (6746476).

The spelling of 6723200 in words is "six million, seven hundred twenty-three thousand, two hundred".