13644072 has 128 divisors (see below), whose sum is σ = 42134400. Its totient is φ = 4064256.

The previous prime is 13644041. The next prime is 13644073. The reversal of 13644072 is 27044631.

13644072 is a `hidden beast` number, since 13 + 644 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120688 + ... + 120800.

It is an arithmetic number, because the mean of its divisors is an integer number (329175).

Almost surely, 2^13644072 is an apocalyptic number.

13644072 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 13644072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067200).

13644072 is an abundant number, since it is smaller than the sum of its proper divisors (28490328).

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

13644072 is a wasteful number, since it uses less digits than its factorization.

13644072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13644072 is about 3693.7882992938. The cubic root of 13644072 is about 238.9541995417.

The spelling of 13644072 in words is "thirteen million, six hundred forty-four thousand, seventy-two".