14088672 has 144 divisors (see below), whose sum is σ = 44579808. Its totient is φ = 4193280.

The previous prime is 14088661. The next prime is 14088677. The reversal of 14088672 is 27688041.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (14088677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198397 + ... + 198467.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

It is a vampire number, since it can be written as 1704 ⋅ 8268 (with its own digits).

Almost surely, 2^14088672 is an apocalyptic number.

14088672 is a gapful number since it is divisible by the number (12) 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 14088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

14088672 is an abundant number, since it is smaller than the sum of its proper divisors (30491136).

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

14088672 is a wasteful number, since it uses less digits than its factorization.

14088672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14088672 is about 3753.4879778681. The cubic root of 14088672 is about 241.5219943190.

The spelling of 14088672 in words is "fourteen million, eighty-eight thousand, six hundred seventy-two".