13001872 has 40 divisors (see below), whose sum is σ = 28732536. Its totient is φ = 5646336.

The previous prime is 13001861. The next prime is 13001897. The reversal of 13001872 is 27810031.

It can be written as a sum of positive squares in 4 ways, for example, as 3041536 + 9960336 = 1744^2 + 3156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1698 + ... + 5374.

Almost surely, 2^13001872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366268).

13001872 is an abundant number, since it is smaller than the sum of its proper divisors (15730664).

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

13001872 is a wasteful number, since it uses less digits than its factorization.

13001872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 13001872 is about 3605.8108658109. The cubic root of 13001872 is about 235.1447546369.

It can be divided in two parts, 1300 and 1872, that multiplied together give a square (2433600 = 1560²).

The spelling of 13001872 in words is "thirteen million, one thousand, eight hundred seventy-two".