We present an overview of the LOFAR Tied-Array All-Sky Survey (LOTAAS) for radio pulsars and fast transients. The survey uses the high-band antennas of the LOFAR Superterp, the dense inner part of the LOFAR core, to survey the northern sky ({delta}>0{deg}) at a central observing frequency of 135MHz. A total of 219 tied-array beams (coherent summation of station signals, covering 12 square degrees), as well as three incoherent beams (covering 67 square degrees) are formed in each survey pointing. For each of the 222 beams, total intensity is recorded at 491.52 {mu}s time resolution. Each observation integrates for 1hr and covers 2592 channels from 119 to 151MHz. This instrumental setup allows LOTAAS to reach a detection threshold of 1-5mJy for periodic emission. Thus far, the LOTAAS survey has resulted in the discovery of 73 radio pulsars. Among these are two mildly recycled binary millisecond pulsars (P=13 and 33ms), as well as the slowest-spinning radio pulsar currently known (P=23.5s). The survey has thus far detected 311 known pulsars, with spin periods ranging from 4ms to 5.0s and dispersion measures from 3.0 to 217pc/cm^3^. Known pulsars are detected at flux densities consistent with literature values. We find that the LOTAAS pulsar discoveries have, on average, longer spin periods than the known pulsar population. This may reflect different selection biases between LOTAAS and previous surveys, though it is also possible that slower-spinning pulsars preferentially have steeper radio spectra. LOTAAS is the deepest all-sky pulsar survey using a digital aperture array; we discuss some of the lessons learned that can inform the approach for similar surveys using future radio telescopes such as the Square Kilometre Array.