Since the start of the war on Feb. 24 until May 11, 727,205 people have registered in Germany's Central Register of Foreigners (AZR), of which 93% hold Ukrainian citizenship.
Welt am Sonntag newspaper reported on Saturday, citing Interior Ministry data.
A significant number may have travelled on to other European Union countries or returned to Ukraine, it said.
Around 40 per cent of Ukrainian refugees were minors, and women make up 81 per cent of the adult refugees registered, Welt added.
The Russian invasion has triggered a massive displacement of people, including more than eight million Ukrainians within the country, according to the latest International Organization for Migration (IOM) report.
The number of people who have fled Ukraine has passed six million, in Europe's worst refugee crisis since the end of World War Two, a UN refugee agency said on Thursday.
At least 14 killed in explosion at weapons depot in Syria
US hits five Iranian oil tankers after attack on Navy ships
UK flights resume after major air traffic outage but airports warn of more disruption
Serbia's President Vucic dissolves parliament, calls snap elections
With large crowds attending, Norway lays King Harald to rest
Jordan intercepts 18 Iranian ballistic missiles
Air traffic control issue disrupts flights at major UK airports
At least 73 injured after Houthi rebels attack Saudi civilian and energy facilities
