13720000 has 140 divisors (see below), whose sum is σ = 39674800. Its totient is φ = 4704000.

The previous prime is 13719991. The next prime is 13720001. The reversal of 13720000 is 2731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (140).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13720001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1959997 + ... + 1960003.

Almost surely, 2^13720000 is an apocalyptic number.

13720000 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 13720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837400).

13720000 is an abundant number, since it is smaller than the sum of its proper divisors (25954800).

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

13720000 is an frugal number, since it uses more digits than its factorization.

13720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 13720000 is about 3704.0518354904. The cubic root of 13720000 is about 239.3966325347.

Adding to 13720000 its reverse (2731), we get a palindrome (13722731).

The spelling of 13720000 in words is "thirteen million, seven hundred twenty thousand".