TROY, Mich. — The bad bets made by executives at Independent Bank of Michigan are on display in spots across the state: a defunct bowling alley, a new but never occupied shopping center and the luxurious Whispering Woods Estates, which offers prime lots for never-constructed dream homes.

Now it is the federal government making the big bet here.

The Treasury Department has invested $72 million out of the $700 billion in federal bailout funds to help prop up this community bank, which traces its roots back 144 years in Michigan. It is a small chunk of the giant rescue fund being wagered by Washington to encourage banks like Independent to resume lending and jump-start the frozen economy.

But Independent, hard put to find good borrowers in a suffering economy, and fearful of making the kind of mistakes that got it into trouble in the first place, is not doing much lending these days. So far it is using all of the government’s money to shore up its own weak finances by repaying short-term loans from the Federal Reserve. “It is like if you are in an airplane and the oxygen mask comes down,” said Stefanie Kimball, the bank’s chief lending officer. “First thing you do is put your own mask on, stabilize yourself.”

This is not what the Treasury Department had in mind when it started this program, saying it would give the nation’s “healthy banks” enough money to start lending again, so that people could buy homes and businesses could invest and create jobs, thereby invigorating a disintegrating economy.