The decay of $_{69}^{172}\mathrm{Tm}$ to $_{70}^{172}\mathrm{Yb}$ has been studied with lithium-drifted germanium detectors used to obtain singles and coincidence spectra. A multiparameter analyzer was used for coincidence measurements. The measurements indicate the presence of 49 $\ensuremath{\gamma}$-ray transitions for which energies and intensities were obtained. The level scheme proposed for $^{172}\mathrm{Yb}$ has states with energies, spins, and parities of 0.0(${0}^{+}$), 78.70(${2}^{+}$), 260.2(${4}^{+}$), 1043(${0}^{+}$), 1119(${2}^{+}$), 1172.3(${3}^{+}$), 1262.9(${4}^{+}$), 1375.8(${5}^{+}$), 1466.0(${2}^{+}$), 1476.8(${1}^{\ensuremath{-}}$), 1549.2(${3}^{+}$), 1608.6(${2}^{+}$), 1662.6(${3}^{+}$), 1700.6(${3}^{+}$), 1750.0(${4}^{+}$), and 1806(${4}^{+}$) keV. The states at 1043 and 1119 keV form a ${K}^{\ensuremath{\pi}}={0}^{+}$ rotational band of which the most likely interpretation is a pairing vibration. The data concerning the levels at 1172.3, 1262.9, and 1375.8 keV are consistent with their previous interpretation as members of a ${K}^{\ensuremath{\pi}}={3}^{+}$ rotational band. A ${K}^{\ensuremath{\pi}}={2}^{+}$ band with levels at 1466.0 and 1549.2 keV is interpreted as being, at least predominantly, a $\ensuremath{\gamma}$-vibrational band. It is suggested that the 1476.8-keV level may be a ${K}^{\ensuremath{\pi}}={0}^{\ensuremath{-}}$ octupole vibrational state. The level at 1608.6 keV is interpreted as a two-neutron state with ${K}^{\ensuremath{\pi}}={2}^{+}$ and with possible rotational levels at 1700.6 and 1806 keV.
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