  We calculate neutron star's moment of inertia and deformabilities using
various microscopic equations of state for nuclear and hybrid star
configurations. Correlations between the various observables are examined and
we confirm several universal relations. We focus in particular on the
constraints for the neutron star radii imposed by a determination of the
average tidal deformability of the binary neutron star system GW170817. We find
compatible radii between 12 and 13 kilometers and identify the suitable
equations of state.
