A urinary catheter has a tube having a proximal section that is insertable into a urethra and a distal section having a connector secured to a distal end of the tube. A lumen is formed longitudinally in the tube and a hydrophilic coating applied to an exterior surface of the tube. The proximal section of the tube includes a proximal tip end that is closed to terminate the lumen at the proximal tip end, with the proximal tip end rounded for insertion of the proximal tip end through the urethra and into a bladder. The proximal section of the tube is conical such that a first outer diameter of the proximal section of the tube measured at the proximal tip end is smaller than a second outer diameter of the proximal section of the tube measured distal from the proximal tip end.