13477872 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4156416.

The previous prime is 13477843. The next prime is 13477907. The reversal of 13477872 is 27877431.

It is a self number, because there is not a number n which added to its sum of digits gives 13477872.

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, 67629 + ... + 67827.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^13477872 is an apocalyptic number.

13477872 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 13477872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13477872 is an abundant number, since it is smaller than the sum of its proper divisors (24019728).

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

13477872 is a wasteful number, since it uses less digits than its factorization.

13477872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

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

The square root of 13477872 is about 3671.2221398330. Note that the first 3 decimals coincide. The cubic root of 13477872 is about 237.9799903145.

The spelling of 13477872 in words is "thirteen million, four hundred seventy-seven thousand, eight hundred seventy-two".