13720500 has 72 divisors (see below), whose sum is σ = 43297800. Its totient is φ = 3657600.

The previous prime is 13720493. The next prime is 13720501. The reversal of 13720500 is 502731.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 11249316 = 1572^2 + 3354^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13720501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976 + ... + 6024.

Almost surely, 2^13720500 is an apocalyptic number.

13720500 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 13720500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21648900).

13720500 is an abundant number, since it is smaller than the sum of its proper divisors (29577300).

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

13720500 is a wasteful number, since it uses less digits than its factorization.

13720500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13720500 is about 3704.1193285314. The cubic root of 13720500 is about 239.3995406218.

The spelling of 13720500 in words is "thirteen million, seven hundred twenty thousand, five hundred".