13717872 has 120 divisors (see below), whose sum is σ = 45393920. Its totient is φ = 3784320.

The previous prime is 13717853. The next prime is 13717909. The reversal of 13717872 is 27871731.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31029 + ... + 31467.

Almost surely, 2^13717872 is an apocalyptic number.

13717872 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 13717872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696960).

13717872 is an abundant number, since it is smaller than the sum of its proper divisors (31676048).

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

13717872 is a wasteful number, since it uses less digits than its factorization.

13717872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 13717872 is about 3703.7645713517. The cubic root of 13717872 is about 239.3842549260.

The spelling of 13717872 in words is "thirteen million, seven hundred seventeen thousand, eight hundred seventy-two".