13740672 has 64 divisors (see below), whose sum is σ = 39828960. Its totient is φ = 4162560.

The previous prime is 13740599. The next prime is 13740673. The reversal of 13740672 is 27604731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×13740672³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13740673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598 + ... + 5850.

Almost surely, 2^13740672 is an apocalyptic number.

13740672 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 13740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19914480).

13740672 is an abundant number, since it is smaller than the sum of its proper divisors (26088288).

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

13740672 is a wasteful number, since it uses less digits than its factorization.

13740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 13740672 is about 3706.8412428913. The cubic root of 13740672 is about 239.5168056106.

The spelling of 13740672 in words is "thirteen million, seven hundred forty thousand, six hundred seventy-two".