It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)4 ⋅ 2!.
It is a tau number, because it is divible by the number of its divisors (54).
It is a nialpdrome in base 12 and base 16.
It is a zygodrome in base 2.
262208 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 62208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93002).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
62208 is an frugal number, since it uses more digits than its factorization.
62208 is an evil number, because the sum of its binary digits is even.
The square root of 62208 is about 249.4153162899. The cubic root of 62208 is about 39.6231269867.
Adding to 62208 its sum of digits (18), we get a palindrome (62226).
Multiplying 62208 by its product of nonzero digits (192), we get a square (11943936 = 34562).
62208 divided by its product of nonzero digits (192) gives a square (324 = 182).
The spelling of 62208 in words is "sixty-two thousand, two hundred eight".