13872520 has 48 divisors (see below), whose sum is σ = 32094540. Its totient is φ = 5396352.

The previous prime is 13872517. The next prime is 13872533. The reversal of 13872520 is 2527831.

13872520 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 13439556 + 432964 = 3666^2 + 658^2 .

It is a super-2 number, since 2×13872520² = 384893622300800, which contains 22 as substring.

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, 88282 + ... + 88438.

Almost surely, 2^13872520 is an apocalyptic number.

13872520 is a gapful number since it is divisible by the number (10) 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 13872520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047270).

13872520 is an abundant number, since it is smaller than the sum of its proper divisors (18222020).

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

13872520 is a wasteful number, since it uses less digits than its factorization.

13872520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13872520 is about 3724.5831981579. The cubic root of 13872520 is about 240.2804591704.

The spelling of 13872520 in words is "thirteen million, eight hundred seventy-two thousand, five hundred twenty".