Circa 1910 airplane with tail number seventy two
It is a Wright, allright, but more probably an EX. The EX was a modified Model R, which in turn was a modification of the Model B. The R and the EX were single seaters, whereas the B would seat two.
Picture of a Model B replica, as taken from its Wikipedia article:
Picture of a Model EX, taken from this site.
The EX was the model used by Cal Rodgers for his epic transcontinental flight. Note the lengthened tail and the closer wings, which allowed to reduce rigging wire and, thus, drag. The "72" shows the same features, so I think it is a Wright Model EX.