13734672 has 80 divisors (see below), whose sum is σ = 41580672. Its totient is φ = 3824640.

The previous prime is 13734667. The next prime is 13734683. The reversal of 13734672 is 27643731.

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

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, 13278 + ... + 14274.

Almost surely, 2^13734672 is an apocalyptic number.

13734672 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 13734672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790336).

13734672 is an abundant number, since it is smaller than the sum of its proper divisors (27846000).

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

13734672 is a wasteful number, since it uses less digits than its factorization.

13734672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 13734672 is about 3706.0318401223. The cubic root of 13734672 is about 239.4819380762.

The spelling of 13734672 in words is "thirteen million, seven hundred thirty-four thousand, six hundred seventy-two".