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We present results from Johnson $UBV$, Kron-Cousins $RI$ and Washington$CT_1T_2$ photometries for seven van den Bergh-Hagen (vdBH) open clusters,namely, vdBH\,1, 10, 31, 72, 87, 92, and 118. The high-quality, multi-bandphotometric data sets were used to trace the cluster stellar density radialprofiles and to build colour-magnitude diagrams (CMDs) and colour-colour (CC)diagrams from which we estimated their structural parameters and fundamentalastrophysical properties. The clusters in our sample cover a wide age range,from $\sim$ 60 Myr up to 2.8 Gyr, are of relatively small size ($\sim$ 1 $-$ 6pc) and are placed at distances from the Sun which vary between 1.8 and 6.3kpc, respectively. We also estimated lower limits for the cluster present-daymasses as well as half-mass relaxation times ($t_r$). The resulting values incombination with the structural parameter values suggest that the studiedclusters are in advanced stages of their internal dynamical evolution(age/$t_r$ $\sim$ 20 $-$ 320), possibly in the typical phase of those tidallyfilled with mass segregation in their core regions. Compared to open clustersin the solar neighbourhood, the seven vdBH clusters are within more massive($\sim$ 80 $-$ 380$M_\odot$), with higher concentration parameter values ($c$$\sim$ 0.75$-$1.15) and dynamically evolved ones.

A comprehensive photometric study of dynamically evolved small van den Bergh-Hagen open clusters