14275200 has 96 divisors (see below), whose sum is σ = 47050560. Its totient is φ = 3804160.

The previous prime is 14275187. The next prime is 14275207. The reversal of 14275200 is 257241.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (14275207) 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, 8857 + ... + 10343.

It is an arithmetic number, because the mean of its divisors is an integer number (490110).

Almost surely, 2^14275200 is an apocalyptic number.

14275200 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 14275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525280).

14275200 is an abundant number, since it is smaller than the sum of its proper divisors (32775360).

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

14275200 is a wasteful number, since it uses less digits than its factorization.

14275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 14275200 is about 3778.2535648101. The cubic root of 14275200 is about 242.5832073552.

The spelling of 14275200 in words is "fourteen million, two hundred seventy-five thousand, two hundred".