13836072 has 32 divisors (see below), whose sum is σ = 34776000. Its totient is φ = 4587264.

The previous prime is 13836071. The next prime is 13836083. The reversal of 13836072 is 27063831.

13836072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13836071) 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, 3328 + ... + 6224.

It is an arithmetic number, because the mean of its divisors is an integer number (1086750).

Almost surely, 2^13836072 is an apocalyptic number.

13836072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13836072 is an abundant number, since it is smaller than the sum of its proper divisors (20939928).

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

13836072 is a wasteful number, since it uses less digits than its factorization.

13836072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13836072 is about 3719.6870836134. The cubic root of 13836072 is about 240.0698407852.

The spelling of 13836072 in words is "thirteen million, eight hundred thirty-six thousand, seventy-two".