13723080 has 192 divisors, whose sum is σ = 51477120. Its totient is φ = 2856960.

The previous prime is 13723057. The next prime is 13723081. The reversal of 13723080 is 8032731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13723080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13723081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442665 + ... + 442695.

It is an arithmetic number, because the mean of its divisors is an integer number (268110).

Almost surely, 2^13723080 is an apocalyptic number.

13723080 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 13723080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738560).

13723080 is an abundant number, since it is smaller than the sum of its proper divisors (37754040).

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

13723080 is a wasteful number, since it uses less digits than its factorization.

13723080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13723080 is about 3704.4675730798. The cubic root of 13723080 is about 239.4145452281.

The spelling of 13723080 in words is "thirteen million, seven hundred twenty-three thousand, eighty".