6275200 has 96 divisors (see below), whose sum is σ = 16221060. Its totient is φ = 2396160.

The previous prime is 6275189. The next prime is 6275209. The reversal of 6275200 is 25726.

It can be written as a sum of positive squares in 6 ways, for example, as 4359744 + 1915456 = 2088^2 + 1384^2 .

It is not an unprimeable number, because it can be changed into a prime (6275209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118374 + ... + 118426.

Almost surely, 2^6275200 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 6275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110530).

6275200 is an abundant number, since it is smaller than the sum of its proper divisors (9945860).

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

6275200 is a wasteful number, since it uses less digits than its factorization.

6275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 6275200 is about 2505.0349298962. The cubic root of 6275200 is about 184.4488098621.

The spelling of 6275200 in words is "six million, two hundred seventy-five thousand, two hundred".