4071200 has 72 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1393920.

The previous prime is 4071181. The next prime is 4071217. The reversal of 4071200 is 21704.

It is a happy number.

4071200 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 (14).

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, 5237 + ... + 5963.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 2^4071200 is an apocalyptic number.

4071200 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 4071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

4071200 is an abundant number, since it is smaller than the sum of its proper divisors (7303072).

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

4071200 is a wasteful number, since it uses less digits than its factorization.

4071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 4071200 is about 2017.7214872227. The cubic root of 4071200 is about 159.6764294124.

Adding to 4071200 its reverse (21704), we get a palindrome (4092904).

The spelling of 4071200 in words is "four million, seventy-one thousand, two hundred".