A turbocharger has a turbocharger housing and a through opening for a shaft. The shaft is pivotally supported in the housing by way of a bearing arrangement. Lubricating oil is supplied for lubricating the bearings. A section of the shaft is provided on the outside of at least one bearing, the section forming a gap together with the housing. The gap is configured as a lubricating oil regulator in order to at least reduce a passage of lubricating oil from the sides of the bearing.