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.
Donald Trump is set for a whirlwind schedule of meetings with leaders from four continents at the UN General Assembly on Tuesday, against the backdrop of the wars in Ukraine and Iran that show no signs of abating.
Torrential rains brought by a powerful typhoon lashing Japan's Pacific coast have caused landslides that killed two people, with four missing, public broadcaster NHK said on Tuesday, while snapping electricity supply to nearly 50,000 homes.
Thousands of flights across the US were disrupted on Monday, with incoming flights halted for hours at major East Coast airports, before the Federal Aviation Administration resolved a telecommunications problem late in the afternoon.
British Prime Minister Andy Burnham said on Monday he had agreed to a request from Saudi Arabia to provide defensive air-to-air refuelling for a limited time period, a move he described as helping to stabilise the wider region.
MS NOW, CNN and Politico said on Monday they were suing the Trump Administration to protect their First Amendment rights after President Donald Trump's announcement that he would ban the news outlets from the White House's building grounds.
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