Comparing capital cost between the two is also fun. Creating a literate person who can perform arithmetic certainly requires more resources than creating a person who can "merely" pedal a bicycle. There's a lot of embodied energy in a person's education, and the cost reflects that.
I guess the right comparison would be how much it would cost to produce another human capable of doing the SHA-256 hash by hand rather than the "fuel" to sustain it.
The brain uses ~300 kCal per day (roughly %20 of a human's resting metabolic rate of 1300 kCal per day) = 0.35 kWattHours per day = about 4.2 cents per day (assuming brain can be powered at average market rate of energy of 12 cents/hWattHours) = about 6.3 cents per hash (at .67 hashes/day) = about 12 sextillion days to mine one block (at current difficulty of 1,873,105,475,221) = about half a septillion dollars to mine one block.
Of course might make more sense to use the full 1300 kCal, considering that a human calculator still needs to use hands for pencil manipulation and provide power to rest of organs to stay alive. Point being this is not efficient or profitable at current difficulty.
However, assuming a pre-computer world or post-apocalyptic world without computing machines, then difficulty will be adjusted to be much easier such that it conceivably would be profitable (maybe with a slave army of human computers). Transactions and blocks could easily be sent via carrier pigeon.