14671272 has 128 divisors (see below), whose sum is σ = 48522240. Its totient is φ = 3578880.

The previous prime is 14671259. The next prime is 14671273. The reversal of 14671272 is 27217641.

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 (14671273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31183 + ... + 31649.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 2^14671272 is an apocalyptic number.

14671272 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 14671272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261120).

14671272 is an abundant number, since it is smaller than the sum of its proper divisors (33850968).

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

14671272 is a wasteful number, since it uses less digits than its factorization.

14671272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 14671272 is about 3830.3096480572. The cubic root of 14671272 is about 244.8062997653.

The spelling of 14671272 in words is "fourteen million, six hundred seventy-one thousand, two hundred seventy-two".