14146272 has 96 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 4040064.

The previous prime is 14146267. The next prime is 14146289. The reversal of 14146272 is 27264141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14146272² = 400234022995968, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4879 + ... + 7217.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^14146272 is an apocalyptic number.

14146272 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 14146272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14146272 is an abundant number, since it is smaller than the sum of its proper divisors (33028128).

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

14146272 is a wasteful number, since it uses less digits than its factorization.

14146272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2351 counting only the distinct ones).

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

The square root of 14146272 is about 3761.1530147017. The cubic root of 14146272 is about 241.8506922270.

The spelling of 14146272 in words is "fourteen million, one hundred forty-six thousand, two hundred seventy-two".