The characteristic features of hexagonally Cr$_{2}$N compound is considered by the theoretical valuation of elastic, mechanical, ultrasonic and thermophysical properties. Initially, the higher order elastic constants (HOECs) of nanostructured Cr$_{2}$N material are computed using the Lennard-Jones many body interactions potential approach. With the help of the HOECs such as modulus like Young’s, bulk and anisotropic parameters are evaluated for elastic and mechanical characterization. Temperature dependent ultrasonic velocities, Debye average velocity and thermal relaxation time are also evaluated along orientation dependent. The ultrasonic attenuation (UA) of longitudinal and shear wave due to phonon–phonon (p–p) interaction and thermoelastic relaxation mechanism are investigated for this thin film. The thermal conductivity is a principal contributor to the behaviour of UA due to p–p interactions. Mechanical and thermal properties of the nanostructured Cr$_{2}$N are superior at low temperature.