84672 is nontrivially palindromic in base 11.
It is a tau number, because it is divible by the number of its divisors (84).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 12.
84672 is a Friedman number, since it can be written as 84^(6/2)/7, using all its digits and the basic arithmetic operations.
284672 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 84672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84672 is a wasteful number, since it uses less digits than its factorization.
84672 is an evil number, because the sum of its binary digits is even.
The square root of 84672 is about 290.9845356716. The cubic root of 84672 is about 43.9116685203.
Multiplying 84672 by its sum of digits (27), we get a square (2286144 = 15122).
84672 divided by its sum of digits (27) gives a square (3136 = 562).
Multiplying 84672 by its reverse (27648), we get a square (2341011456 = 483842).
The spelling of 84672 in words is "eighty-four thousand, six hundred seventy-two".