Thank you, too, léonie, for your explanation. I realize that I am posting in the wrong part of these discussions since I am not exporting from Aperture but from the Mac's Photo app, but as I am at the present at the stage of trying to find out what is going on before I try to modify the behaviour of the Photo app, the principles are the same. Perhaps I ought to confess that I am not a total ignoramus, though very much an inexperienced amateur as far as printing digital photos is concerned, since I was an electronic engineer once, and then a lecturer in maths and physics, before abandoning all that for a career in music.
I downloaded photos from my iPhone to Photos on the Mac, then exported them as JPEGs and, later, as TIFFs. I then opened one of the TIFFs in Photoshop CS6, and I attach what is shown under 'Image Size'.
If I multiply 3024 and 4032, I obtain approximately 12.2 Mp as the total number of pixels, which corresponds very satisfyingly with the specifications of my phone's camera. ('Pixel Dimensions 69.8 M' presumably refers to the actual size of the pixels.) But if I multiply 42" x 56" x 72 ppi, which, as far as I can see, should yield the same answer, I obtain a mere 169,344 pixels.
At this stage I have two questions.
Firstly, why this discrepancy between 12.2 Mp and 169,344 p?
And secondly, will I get sharper prints if I type 250 or 300 in place of 72 into the 'Resolution' box?
Thank you in anticipation for answers from you or from anyone else.