In this talk I will make a review of the current status of pulsar science. Pulsar are rapid spinning, highly magnetized neutron stars that can emit radiation in different part of the electromagnetic spectrum such as radio, optical, X-rays and Gamma-rays. These stars are unique laboratories in which very dense forms of matter and extremely curved space-time can be studied. They are also excellent tools to measure time with high precision and to probe the interstellar and potentially the intergalactic medium. In this talk I will review some of these aspects and the exciting results that are coming from the pulsar searches made at different facilities. I will focus particularly in how through these searches we can detect new astrophysical phenomena such as single millisecond radio bursts that may be associated to the coalescence of two compact objects.