We have studied the N * (1875)(3/2 − ) resonance with a multichannel unitary scheme, considering the ∆π and Σ * K, with their interaction extracted from chiral Lagrangians, and then have added two more channels, the N * (1535)π and N σ, which proceed via triangle diagrams involving the Σ * K and ∆π respectively in the intermediate states. The triangle diagram in the N * (1535)π case develops a singularity at the same energy as the resonance mass. We determine the couplings of the resonance to the different channels and the partial decay widths. We find a very large decay width to Σ * K, and also see that, due to interference with other terms, the N σ channel has an important role in the ππ mass distributions at low invariant masses, leading to an apparently large N σ decay width. A discussion is done, justifying the convenience of an experimental reanalysis of this resonance to the light of the findings of the paper, using multichannel unitary schemes.