13726720 has 88 divisors (see below), whose sum is σ = 37730304. Its totient is φ = 4694016.

The previous prime is 13726717. The next prime is 13726723. The reversal of 13726720 is 2762731.

It is an interprime number because it is at equal distance from previous prime (13726717) and next prime (13726723).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13726723) 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, 35649 + ... + 36031.

Almost surely, 2^13726720 is an apocalyptic number.

13726720 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 13726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865152).

13726720 is an abundant number, since it is smaller than the sum of its proper divisors (24003584).

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

13726720 is an equidigital number, since it uses as much as digits as its factorization.

13726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 13726720 is about 3704.9588391776. The cubic root of 13726720 is about 239.4357113197.

The spelling of 13726720 in words is "thirteen million, seven hundred twenty-six thousand, seven hundred twenty".