13726752 has 96 divisors (see below), whose sum is σ = 41150592. Its totient is φ = 3969024.

The previous prime is 13726751. The next prime is 13726753. The reversal of 13726752 is 25762731.

It is an interprime number because it is at equal distance from previous prime (13726751) and next prime (13726753).

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

It is not an unprimeable number, because it can be changed into a prime (13726751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20893 + ... + 21539.

It is an arithmetic number, because the mean of its divisors is an integer number (428652).

Almost surely, 2^13726752 is an apocalyptic number.

13726752 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 13726752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20575296).

13726752 is an abundant number, since it is smaller than the sum of its proper divisors (27423840).

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

13726752 is a wasteful number, since it uses less digits than its factorization.

13726752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 13726752 is about 3704.9631577116. The cubic root of 13726752 is about 239.4358973787.

The spelling of 13726752 in words is "thirteen million, seven hundred twenty-six thousand, seven hundred fifty-two".