It is a tau number, because it is divible by the number of its divisors (72).
It is a nialpdrome in base 12.
135072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
2135072 is an apocalyptic number.
135072 is a gapful number since it is divisible by the number (12) 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 135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135072 is a wasteful number, since it uses less digits than its factorization.
135072 is an odious number, because the sum of its binary digits is odd.
The square root of 135072 is about 367.5214279467. The cubic root of 135072 is about 51.3083966512.
The spelling of 135072 in words is "one hundred thirty-five thousand, seventy-two".