13722000 has 80 divisors (see below), whose sum is σ = 44259072. Its totient is φ = 3657600.

The previous prime is 13721993. The next prime is 13722019. The reversal of 13722000 is 22731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 7143.

Almost surely, 2^13722000 is an apocalyptic number.

13722000 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 13722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129536).

13722000 is an abundant number, since it is smaller than the sum of its proper divisors (30537072).

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

13722000 is a wasteful number, since it uses less digits than its factorization.

13722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 13722000 is about 3704.3218002760. The cubic root of 13722000 is about 239.4082644590.

Adding to 13722000 its reverse (22731), we get a palindrome (13744731).

It can be divided in two parts, 1372 and 2000, that multiplied together give a cube (2744000 = 140³).

The spelling of 13722000 in words is "thirteen million, seven hundred twenty-two thousand".