14532672 has 112 divisors (see below), whose sum is σ = 47987712. Its totient is φ = 3770880.

The previous prime is 14532659. The next prime is 14532673. The reversal of 14532672 is 27623541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×14532672² = 422397110919168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14532673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14293 + ... + 15275.

Almost surely, 2^14532672 is an apocalyptic number.

14532672 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 14532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23993856).

14532672 is an abundant number, since it is smaller than the sum of its proper divisors (33455040).

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

14532672 is a wasteful number, since it uses less digits than its factorization.

14532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 14532672 is about 3812.1741827991. The cubic root of 14532672 is about 244.0329615956.

The spelling of 14532672 in words is "fourteen million, five hundred thirty-two thousand, six hundred seventy-two".