Suppose a man is $25$ years old and would like to retire at age $65.$Furthermore$,$ he would like to have a retirement fund from which he can draw an income of $$$$75,000$ per year$$forever$!$ How can he do$$ it$?$ Assume a constant APR of $6\%.$

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Part $1$

He can have a retirement fund from which he can draw $$$$75,000$ per year by having $$$enter your response here in his savings account when he retires.

$($Do not round until the final answer. Then round to the nearest integer as$$ needed.$)$