A casing of a turbocharger, which surrounds a housing to be encased such as a turbine housing and/or a compressor housing and/or a bearing housing of the turbocharger at least in sections, with axial casing segments, which axially adjoin the housing to be encased, with at least one radial casing segment, which radially adjoins the housing to be encased radially outside, and at least one stiffening element is formed or acts on at least one casing segment.