It is a tau number, because it is divible by the number of its divisors (64).
It is a d-powerful number, because it can be written as 27 + 215 + 83 + 310 + 73 + 217 .
It is a nialpdrome in base 8.
It is an unprimeable number.
2223872 is an apocalyptic number.
223872 is a gapful number since it is divisible by the number (22) 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 223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223872 is a wasteful number, since it uses less digits than its factorization.
223872 is an odious number, because the sum of its binary digits is odd.
The square root of 223872 is about 473.1511386439. The cubic root of 223872 is about 60.7202092754.
The spelling of 223872 in words is "two hundred twenty-three thousand, eight hundred seventy-two".