This may have to do with the fact that the cells require 'housekeeping genes', which are typically constitutive genes that are expressed in all cells of an organism under normal and patho-physiological conditions. I think these housekeepingHousekeeping and other essential genes are found indistributed uniformly across different chromosomes, although I could not find a source for this thereby making any chromosome indispensable.
"Housekeeping genes are genes that are required for the maintenance of basal cellular functions that are essential for the existence of a cell, regardless of its specific role in the tissue or organism. Thus, they are expected to be expressed in all in all cells of an organism under normal conditions, irrespective of tissue type, developmental stage, cell cycle state, or external signal."
http://www.cell.com/trends/genetics/pdf/S0168-9525(13)00089-9.pdf
Intriguingly, chromosome X lacks housekeeping genes. A recent study suggested a possible explanation for this, as follows: "In the end, we have found the answer to be quite simple. Whereas most chromosomes operate in pairs, meaning there are two copies of each gene in every cell, in contrast, we only have one active copy of the X chromosome. This means it is not sustainable for highly active genes to be on the X chromosome. Housekeeping genes tend also to be highly active – they just couldn't survive on the X.”
http://www.bath.ac.uk/news/2016/01/12/x-chromosome/