14112288 has 72 divisors (see below), whose sum is σ = 42260400. Its totient is φ = 4454784.

The previous prime is 14112283. The next prime is 14112311. The reversal of 14112288 is 88221141.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14112283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4183 + ... + 6761.

It is an arithmetic number, because the mean of its divisors is an integer number (586950).

Almost surely, 2^14112288 is an apocalyptic number.

14112288 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 14112288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21130200).

14112288 is an abundant number, since it is smaller than the sum of its proper divisors (28148112).

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

14112288 is a wasteful number, since it uses less digits than its factorization.

14112288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 14112288 is about 3756.6325345980. The cubic root of 14112288 is about 241.6568686211.

It can be divided in two parts, 14112 and 288, that multiplied together give a square (4064256 = 2016²).

The spelling of 14112288 in words is "fourteen million, one hundred twelve thousand, two hundred eighty-eight".