Sensation of atmospheric pressure Pressure is force divided by area, and force is mass times acceleration.
Now, the newton [N] is the force needed to accelerate 1 kg by 1 m/s, and the kilogram-force [kgf] is the force needed to accelerate 1 kg by g m/s, where g is the standard gravity.
The standard atmospheric pressure is set at 101325 Pa, which would translate to ~10333 kgf/m^2.
So why don't we all implode? What is missing from the picture?
 A: Missing from the picture is that all macroscopic bodies in fluid or solid state do not like being compressed. These macroscopic bodies can be thought of as made up of molecules or atoms which below some distances will always start to repel each other. This causes them to exert a force against being compressed, i.e., brought more close to each other. So pressure is balanced by the resistance of bodies to be compressed beyond a certain point.
A: Solids and liquids are what we call incompressable.  They do not change their volume a great deal when a pressure is applied to them.  A comparable metaphor for you is that you can park the wheel of a car on top of a phone book.  That phone book is under thousands of pounds of force, but it doesn't implode because solid materials tend to not change volume when the force is applied.
Meanwhile, the gasses in our body are all at roughly atmospheric pressure, so they already press outwards with a pressure equal to the pressure going in.  However, if you rapidly change pressures (such as a rapid decompression in the event of an airline cabin losing pressurization), you very quickly feel just how much force was being applied by all of those gasses for a few moments while they all equalize.
