13662672 has 80 divisors (see below), whose sum is σ = 37854720. Its totient is φ = 4233600.

The previous prime is 13662643. The next prime is 13662697. The reversal of 13662672 is 27626631.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64647 + ... + 64857.

It is an arithmetic number, because the mean of its divisors is an integer number (473184).

Almost surely, 2^13662672 is an apocalyptic number.

13662672 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 13662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927360).

13662672 is an abundant number, since it is smaller than the sum of its proper divisors (24192048).

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

13662672 is a wasteful number, since it uses less digits than its factorization.

13662672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 13662672 is about 3696.3051822056. The cubic root of 13662672 is about 239.0627333673.

The spelling of 13662672 in words is "thirteen million, six hundred sixty-two thousand, six hundred seventy-two".