14727168 has 144 divisors (see below), whose sum is σ = 45995040. Its totient is φ = 4521984.

The previous prime is 14727161. The next prime is 14727179. The reversal of 14727168 is 86172741.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14727161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313321 + ... + 313367.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 2^14727168 is an apocalyptic number.

14727168 is a gapful number since it is divisible by the number (18) 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 14727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520).

14727168 is an abundant number, since it is smaller than the sum of its proper divisors (31267872).

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

14727168 is a wasteful number, since it uses less digits than its factorization.

14727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 14727168 is about 3837.5992495309. The cubic root of 14727168 is about 245.1168011726.

The spelling of 14727168 in words is "fourteen million, seven hundred twenty-seven thousand, one hundred sixty-eight".