14375200 has 144 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 4608000.

The previous prime is 14375197. The next prime is 14375261. The reversal of 14375200 is 257341.

It is a nialpdrome in base 8.

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 23 ways as a sum of consecutive naturals, for example, 95125 + ... + 95275.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^14375200 is an apocalyptic number.

14375200 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 14375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

14375200 is an abundant number, since it is smaller than the sum of its proper divisors (28372064).

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

14375200 is a wasteful number, since it uses less digits than its factorization.

14375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 14375200 is about 3791.4640971530. The cubic root of 14375200 is about 243.1483341887.

The spelling of 14375200 in words is "fourteen million, three hundred seventy-five thousand, two hundred".