14431872 has 192 divisors, whose sum is σ = 48837600. Its totient is φ = 3741696.

The previous prime is 14431831. The next prime is 14431873. The reversal of 14431872 is 27813441.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (5376) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (14431873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244579 + ... + 244637.

Almost surely, 2^14431872 is an apocalyptic number.

14431872 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 14431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

14431872 is an abundant number, since it is smaller than the sum of its proper divisors (34405728).

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

14431872 is a wasteful number, since it uses less digits than its factorization.

14431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 14431872 is about 3798.9303757768. The cubic root of 14431872 is about 243.4674400988.

The spelling of 14431872 in words is "fourteen million, four hundred thirty-one thousand, eight hundred seventy-two".