14854272 has 64 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 4889600.

The previous prime is 14854271. The next prime is 14854283. The reversal of 14854272 is 27245841.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14854271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38593 + ... + 38975.

It is an arithmetic number, because the mean of its divisors is an integer number (624240).

Almost surely, 2^14854272 is an apocalyptic number.

14854272 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 14854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

14854272 is an abundant number, since it is smaller than the sum of its proper divisors (25097088).

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

14854272 is a wasteful number, since it uses less digits than its factorization.

14854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 14854272 is about 3854.1240249893. The cubic root of 14854272 is about 245.8199488899.

The spelling of 14854272 in words is "fourteen million, eight hundred fifty-four thousand, two hundred seventy-two".