A turbocharger, with a turbine a turbine housing and a turbine rotor, with a compressor with a compressor housing and a compressor rotor that is coupled to the turbine rotor via a shaft, with a bearing housing arranged between the turbine housing and the compressor housing, wherein both the turbine housing and also the compressor housing are connected to the bearing housing, with at least one bearing, via which the shaft is mounted in the bearing housing, wherein the respective bearing comprises a bearing bush arranged in the bearing housing, wherein between the bearing bush and the bearing housing a radially outer lubricating gap and between the bearing bush and the shaft a radially inner lubricating gap are formed, wherein the radially outer lubricating gap and the radially inner lubricating gap are suppliable with lubricating oil emanating from an oil supply main line independently of one another.