14038272 has 90 divisors (see below), whose sum is σ = 41921418. Its totient is φ = 4672512.

The previous prime is 14038261. The next prime is 14038273. The reversal of 14038272 is 27283041.

It can be written as a sum of positive squares in only one way, i.e., 14017536 + 20736 = 3744^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14038273) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20398 + ... + 21074.

Almost surely, 2^14038272 is an apocalyptic number.

14038272 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 14038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20960709).

14038272 is an abundant number, since it is smaller than the sum of its proper divisors (27883146).

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

14038272 is an frugal number, since it uses more digits than its factorization.

14038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14038272 is about 3746.7682074022. The cubic root of 14038272 is about 241.2336479382.

The spelling of 14038272 in words is "fourteen million, thirty-eight thousand, two hundred seventy-two".