13261872 has 80 divisors (see below), whose sum is σ = 37685088. Its totient is φ = 3993600.

The previous prime is 13261861. The next prime is 13261879. The reversal of 13261872 is 27816231.

It is not an unprimeable number, because it can be changed into a prime (13261879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32872 + ... + 33272.

Almost surely, 2^13261872 is an apocalyptic number.

13261872 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 13261872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842544).

13261872 is an abundant number, since it is smaller than the sum of its proper divisors (24423216).

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

13261872 is a wasteful number, since it uses less digits than its factorization.

13261872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 13261872 is about 3641.6853241322. The cubic root of 13261872 is about 236.7018273049.

The spelling of 13261872 in words is "thirteen million, two hundred sixty-one thousand, eight hundred seventy-two".