13581072 has 60 divisors (see below), whose sum is σ = 39050700. Its totient is φ = 4402944.

The previous prime is 13581053. The next prime is 13581083. The reversal of 13581072 is 27018531.

13581072 is a `hidden beast` number, since 13 + 581 + 0 + 72 = 666.

13581072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 1218816 = 3516^2 + 1104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4054 + ... + 6602.

It is an arithmetic number, because the mean of its divisors is an integer number (650845).

Almost surely, 2^13581072 is an apocalyptic number.

13581072 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 13581072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525350).

13581072 is an abundant number, since it is smaller than the sum of its proper divisors (25469628).

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

13581072 is a wasteful number, since it uses less digits than its factorization.

13581072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13581072 is about 3685.2506020622. The cubic root of 13581072 is about 238.5858504537.

The spelling of 13581072 in words is "thirteen million, five hundred eighty-one thousand, seventy-two".