14071200 has 288 divisors, whose sum is σ = 55121472. Its totient is φ = 3072000.

The previous prime is 14071199. The next prime is 14071207. The reversal of 14071200 is 217041.

14071200 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 14071200.

It is not an unprimeable number, because it can be changed into a prime (14071207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343180 + ... + 343220.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

Almost surely, 2^14071200 is an apocalyptic number.

14071200 is a gapful number since it is divisible by the number (10) 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 14071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736).

14071200 is an abundant number, since it is smaller than the sum of its proper divisors (41050272).

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

14071200 is a wasteful number, since it uses less digits than its factorization.

14071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 14071200 is about 3751.1598206421. The cubic root of 14071200 is about 241.4221122316.

Adding to 14071200 its reverse (217041), we get a palindrome (14288241).

The spelling of 14071200 in words is "fourteen million, seventy-one thousand, two hundred".