13877472 has 96 divisors (see below), whose sum is σ = 42239232. Its totient is φ = 3907584.

The previous prime is 13877459. The next prime is 13877497. The reversal of 13877472 is 27477831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13877472² = 385168458221568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13877472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71808 + ... + 72000.

It is an arithmetic number, because the mean of its divisors is an integer number (439992).

Almost surely, 2^13877472 is an apocalyptic number.

13877472 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 13877472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21119616).

13877472 is an abundant number, since it is smaller than the sum of its proper divisors (28361760).

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

13877472 is a wasteful number, since it uses less digits than its factorization.

13877472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 13877472 is about 3725.2479112134. The cubic root of 13877472 is about 240.3090463169.

The spelling of 13877472 in words is "thirteen million, eight hundred seventy-seven thousand, four hundred seventy-two".