13209872 has 40 divisors (see below), whose sum is σ = 28253400. Its totient is φ = 5944320.

The previous prime is 13209871. The next prime is 13209881. The reversal of 13209872 is 27890231.

It can be written as a sum of positive squares in 4 ways, for example, as 364816 + 12845056 = 604^2 + 3584^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13209871) 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, 7754 + ... + 9302.

It is an arithmetic number, because the mean of its divisors is an integer number (706335).

Almost surely, 2^13209872 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 13209872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126700).

13209872 is an abundant number, since it is smaller than the sum of its proper divisors (15043528).

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

13209872 is a wasteful number, since it uses less digits than its factorization.

13209872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13209872 is about 3634.5387602831. The cubic root of 13209872 is about 236.3920515955.

It can be divided in two parts, 132098 and 72, that multiplied together give a square (9511056 = 3084²).

The spelling of 13209872 in words is "thirteen million, two hundred nine thousand, eight hundred seventy-two".