  As a result of continuous developments, the recent experimental searches lead
to the observations of new particles at different hadronic channels. Among
these hadrons are the excited states of the heavy baryons containing single
bottom or charmed quark in their valance quark content. The recently observed
$\Lambda_b(6072)^0$ state is one of these baryons and possibly $2S$ radial
excitation of the $\Lambda_b$ state. Considering this information from the
experiment, we conduct a QCD sum rule analysis on this state and calculate its
mass and current coupling constant considering it as a $2S$ radially excited
$\Lambda_b$ resonance. For completeness, in the analyses, we also compute the
mass and current coupling constant for the ground state $\Lambda_b^0$ and its
first orbital excitation. We also consider the $\Lambda_c^+$ counterpart of
each state and attain their mass, as well. The obtained results are consistent
with the experimental data as well as existing theoretical predictions.
