2007200 has 72 divisors (see below), whose sum is σ = 5304348. Its totient is φ = 737280.

The previous prime is 2007199. The next prime is 2007209. The reversal of 2007200 is 27002.

It can be written as a sum of positive squares in 6 ways, for example, as 190096 + 1817104 = 436^2 + 1348^2 .

It is not an unprimeable number, because it can be changed into a prime (2007209) 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, 10304 + ... + 10496.

2^2007200 is an apocalyptic number.

2007200 is a gapful number since it is divisible by the number (20) 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 2007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652174).

2007200 is an abundant number, since it is smaller than the sum of its proper divisors (3297148).

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

2007200 is a wasteful number, since it uses less digits than its factorization.

2007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 2007200 is about 1416.7568598740. The cubic root of 2007200 is about 126.1431144488.

It can be divided in two parts, 200 and 7200, that multiplied together give a square (1440000 = 1200²).

The spelling of 2007200 in words is "two million, seven thousand, two hundred".