It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)8.
30720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (48).
30720 is strictly pandigital in base 6.
It is a nialpdrome in base 2 and base 8.
It is a zygodrome in base 2.
It is a congruent number.
30720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
In principle, a polygon with 30720 sides can be constructed with ruler and compass.
230720 is an apocalyptic number.
30720 is a gapful number since it is divisible by the number (30) 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 30720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30720 is an equidigital number, since it uses as much as digits as its factorization.
30720 is an evil number, because the sum of its binary digits is even.
The square root of 30720 is about 175.2712184017. The cubic root of 30720 is about 31.3189411294.
The spelling of 30720 in words is "thirty thousand, seven hundred twenty".