We calculate the full one-loop electroweak radiative corrections, of O(α2αs)O(α2αs), to the cross section of single Z -boson inclusive hadroproduction at finite transverse momentum (pTpT). This includes the O(α)O(α) corrections to Z+jZ+j production, the O(αs)O(αs) corrections to Z+γZ+γ production, and certain QCD-electroweak interference contributions involving a single quark trace. We recover the QCD and purely weak corrections and study the QED corrections and the QCD-electroweak interference contributions for the first time. We also consider direct and resolved photoproduction in elastic and inelastic scattering. We present pTpT and rapidity distributions for the experimental conditions at the Fermilab Tevatron and the CERN LHC and assess the significance of the various contributions.