It is a tau number, because it is divible by the number of its divisors (24).
It is a harmonic number, since the harmonic mean of its divisors is an integer.
672 is an admirable number.
It is an alternating number because its digits alternate between even and odd.
It is a nialpdrome in base 4.
It is a zygodrome in base 4.
672 is a droll number since its even prime factors and its odd prime factors have the same sum.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
672 is a wasteful number, since it uses less digits than its factorization.
672 is an odious number, because the sum of its binary digits is odd.
The square root of 672 is about 25.9229627936. The cubic root of 672 is about 8.7590382798.
The spelling of 672 in words is "six hundred seventy-two", and is thus an aban number.