22720 has 28 divisors (see below), whose sum is σ = 54864. Its totient is φ = 8960.

The previous prime is 22717. The next prime is 22721. The reversal of 22720 is 2722.

22720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

22720 is strictly pandigital in base 6.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 22720.

It is not an unprimeable number, because it can be changed into a prime (22721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 285 + ... + 355.

2²²⁷²⁰ is an apocalyptic number.

22720 is a gapful number since it is divisible by the number (20) 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 22720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432).

22720 is an abundant number, since it is smaller than the sum of its proper divisors (32144).

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

22720 is an equidigital number, since it uses as much as digits as its factorization.

22720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 22720 is about 150.7315494513. The cubic root of 22720 is about 28.3227950043.

The spelling of 22720 in words is "twenty-two thousand, seven hundred twenty", and thus it is an iban number.