13723760 has 40 divisors (see below), whose sum is σ = 33788016. Its totient is φ = 5166080.

The previous prime is 13723733. The next prime is 13723763. The reversal of 13723760 is 6732731.

13723760 = 93² + 94² + ... + 347².

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13723763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3686 + ... + 6405.

Almost surely, 2^13723760 is an apocalyptic number.

13723760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13723760 is an abundant number, since it is smaller than the sum of its proper divisors (20064256).

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

13723760 is a wasteful number, since it uses less digits than its factorization.

13723760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10121 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 13723760 is about 3704.5593530135. The cubic root of 13723760 is about 239.4184996174.

The spelling of 13723760 in words is "thirteen million, seven hundred twenty-three thousand, seven hundred sixty".