4027200 has 84 divisors (see below), whose sum is σ = 13228320. Its totient is φ = 1072640.

The previous prime is 4027193. The next prime is 4027211. The reversal of 4027200 is 27204.

4027200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4027200.

It is a congruent number.

It is an unprimeable number.

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, 4381 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (157480).

Almost surely, 2^4027200 is an apocalyptic number.

4027200 is a gapful number since it is divisible by the number (40) 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 4027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614160).

4027200 is an abundant number, since it is smaller than the sum of its proper divisors (9201120).

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

4027200 is a wasteful number, since it uses less digits than its factorization.

4027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 4027200 is about 2006.7884791377. The cubic root of 4027200 is about 159.0991035977.

The spelling of 4027200 in words is "four million, twenty-seven thousand, two hundred".