13722320 has 20 divisors (see below), whose sum is σ = 31904580. Its totient is φ = 5488896.

The previous prime is 13722311. The next prime is 13722323. The reversal of 13722320 is 2322731.

It can be written as a sum of positive squares in 2 ways, for example, as 5125696 + 8596624 = 2264^2 + 2932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13722292 and 13722301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13722323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85685 + ... + 85844.

It is an arithmetic number, because the mean of its divisors is an integer number (1595229).

Almost surely, 2^13722320 is an apocalyptic number.

13722320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13722320 is an abundant number, since it is smaller than the sum of its proper divisors (18182260).

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

13722320 is a wasteful number, since it uses less digits than its factorization.

13722320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171542 (or 171536 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 13722320 is about 3704.3649928159. The cubic root of 13722320 is about 239.4101254620.

The spelling of 13722320 in words is "thirteen million, seven hundred twenty-two thousand, three hundred twenty".