  Kreuzer and Skarke famously produced the largest known database of Calabi-Yau
threefolds by providing a complete construction of all 473,800,776 reflexive
polyhedra that exist in four dimensions. These polyhedra describe the singular
limits of ambient toric varieties in which Calabi-Yau threefolds can exist as
hypersurfaces. In this paper, we review how to extract topological and
geometric information about Calabi-Yau threefolds using the toric construction,
and we provide, in a companion online database (see
http://nuweb1.neu.edu/cydatabase), a detailed inventory of these quantities
which are of interest to physicists. Many of the singular ambient spaces
described by the Kreuzer-Skarke list can be smoothed out into multiple distinct
toric ambient spaces describing different Calabi-Yau threefolds. We provide a
list of the different Calabi-Yau threefolds which can be obtained from each
polytope, up to current computational limits. We then give the details of a
variety of quantities associated to each of these Calabi-Yau such as Chern
classes, intersection numbers, and the K\"ahler and Mori cones, in addition to
the Hodge data. This data forms a useful starting point for a number of
physical applications of the Kreuzer-Skarke list.
