13087872 has 128 divisors (see below), whose sum is σ = 44227200. Its totient is φ = 3732480.

The previous prime is 13087871. The next prime is 13087913. The reversal of 13087872 is 27878031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13087871) 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, 23922 + ... + 24462.

It is an arithmetic number, because the mean of its divisors is an integer number (345525).

Almost surely, 2^13087872 is an apocalyptic number.

13087872 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 13087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22113600).

13087872 is an abundant number, since it is smaller than the sum of its proper divisors (31139328).

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

13087872 is an equidigital number, since it uses as much as digits as its factorization.

13087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 13087872 is about 3617.7164067959. The cubic root of 13087872 is about 235.6620654095.

It can be divided in two parts, 1308 and 7872, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 13087872 in words is "thirteen million, eighty-seven thousand, eight hundred seventy-two".