14636672 has 32 divisors (see below), whose sum is σ = 29880900. Its totient is φ = 7137280.

The previous prime is 14636663. The next prime is 14636729. The reversal of 14636672 is 27663641.

14636672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13957696 + 678976 = 3736^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3854 + ... + 6642.

Almost surely, 2^14636672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940450).

14636672 is an abundant number, since it is smaller than the sum of its proper divisors (15244228).

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

14636672 is an equidigital number, since it uses as much as digits as its factorization.

14636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2832 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 14636672 is about 3825.7903758570. The cubic root of 14636672 is about 244.6137019375.

The spelling of 14636672 in words is "fourteen million, six hundred thirty-six thousand, six hundred seventy-two".