  The selenium isotopes lie at the heart of a tumultuous region of the nuclear
chart where shape coexistence effects grapple with neutron-proton pairing
correlations, triaxiality, and the impending proton dripline. In this work a
study of $^{72}$Se by internal conversion electron and $\gamma$-ray
spectroscopy was undertaken with the SPICE and TIGRESS arrays. New measurements
of the branching ratio and lifetime of the $0_2^+$ state were performed
yielding a determination of $\rho^2(E0;0_2^+{\rightarrow}0_1^+)=29(3)$
milliunits. two state mixing calculations were performed that highlighted the
importance of interpretation of such $E0$ strength values in the context of
shape-coexistence.
