13278672 has 120 divisors (see below), whose sum is σ = 41434848. Its totient is φ = 3936000.

The previous prime is 13278667. The next prime is 13278677. The reversal of 13278672 is 27687231.

13278672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13278667) and next prime (13278677).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13278677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131422 + ... + 131522.

Almost surely, 2^13278672 is an apocalyptic number.

13278672 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 13278672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424).

13278672 is an abundant number, since it is smaller than the sum of its proper divisors (28156176).

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

13278672 is a wasteful number, since it uses less digits than its factorization.

13278672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 13278672 is about 3643.9912184307. The cubic root of 13278672 is about 236.8017355911.

It can be divided in two parts, 1327 and 8672, that added together give a palindrome (9999).

The spelling of 13278672 in words is "thirteen million, two hundred seventy-eight thousand, six hundred seventy-two".