3725200 has 60 divisors (see below), whose sum is σ = 9148720. Its totient is φ = 1457280.

The previous prime is 3725179. The next prime is 3725203. The reversal of 3725200 is 25273.

It is a happy number.

3725200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3725203) 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 11 ways as a sum of consecutive naturals, for example, 26731 + ... + 26869.

Almost surely, 2^3725200 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 3725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574360).

3725200 is an abundant number, since it is smaller than the sum of its proper divisors (5423520).

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

3725200 is a wasteful number, since it uses less digits than its factorization.

3725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 3725200 is about 1930.0777186424. The cubic root of 3725200 is about 155.0183814482.

The spelling of 3725200 in words is "three million, seven hundred twenty-five thousand, two hundred".