Part 77,
You will need to know what load you are going to power. The batteries you've described can put out more than 1000 watts, just not for very long. 72 AH tells the actual energy stored in the batteries. The rate (watts) at which you use it is determined by the load.
Note that you should never discharge a lead acid battery to less than half of its total capacity. Any time you discharge an AGM or Gel battery, you shorten the number of charge discharge cycles that you can get from the battery. The deeper you discharge the battery, the shorter its life. There's a lot of info on the web on battery capacity and charge/discharge cycles. Look around and read.
Having said that, you will want to reduce the load that you want to power from these batteries to get the longest usage from them. Fluorescent lights or LED lights are an excellent suggestion. 72 AH batteries are not very big and will not last long under heavy loads. 72 AH (because you don't want to discharge them to less than have their rated capacity of 144 AH) at 12 volts gives you 864 WH or 0.864 KWH. Look at your electric bill to see how many KWH you use in a month. It's a little frightening isn't it.
Inverters are inefficient. You lose 10-20% of your power simply due to their lack of efficiency. If you can use 12 volt lamps, similar to camping lamps and the like, you will skip this loss of power. Your lamps may last all the longer. Then, simply find a battery charger that you can permanently attach to the batteries. I've read articles where people wired their house with automotive style (cigarette lighter) 12 volt outlets so they could avoid using an inverter. That seems a little extreme for me, but it's not a bad idea.
Lastly, keep an eye on wire size. To get 300 watts out of a 12 volt battery you will draw 25 amps. This means the wire on your batteries must be at least 10 AWG. Larger if your inverter is very far from your batteries. Be careful.
Good luck with your project. I had a similar need. I live in a rural area and supply my water through a well. During power outages, we were without water. I set up what amounts to a UPS for my water pump. It uses four 92AH batteries and an inverter/charger that automatically keeps the batteries charged when power is on and switches over when we lose power.