14538672 has 60 divisors (see below), whose sum is σ = 43088760. Its totient is φ = 4560384.

The previous prime is 14538661. The next prime is 14538677. The reversal of 14538672 is 27683541.

It is a super-2 number, since 2×14538672² = 422745967047168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14538677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^14538672 is an apocalyptic number.

14538672 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 14538672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544380).

14538672 is an abundant number, since it is smaller than the sum of its proper divisors (28550088).

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

14538672 is a wasteful number, since it uses less digits than its factorization.

14538672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5961 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 14538672 is about 3812.9610540891. The cubic root of 14538672 is about 244.0665410207.

The spelling of 14538672 in words is "fourteen million, five hundred thirty-eight thousand, six hundred seventy-two".