14893272 has 48 divisors (see below), whose sum is σ = 41009280. Its totient is φ = 4881600.

The previous prime is 14893267. The next prime is 14893273. The reversal of 14893272 is 27239841.

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 (14893273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2697 + ... + 6087.

It is an arithmetic number, because the mean of its divisors is an integer number (854360).

Almost surely, 2^14893272 is an apocalyptic number.

14893272 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 14893272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20504640).

14893272 is an abundant number, since it is smaller than the sum of its proper divisors (26116008).

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

14893272 is a wasteful number, since it uses less digits than its factorization.

14893272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3457 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14893272 is about 3859.1802238299. The cubic root of 14893272 is about 246.0348949111.

It can be divided in two parts, 1489 and 3272, that added together give a square (4761 = 69²).

The spelling of 14893272 in words is "fourteen million, eight hundred ninety-three thousand, two hundred seventy-two".