A Curious Number

Let the number be $x$ :

$\dfrac{x}{7} \times \dfrac{x}{5} =x \Rightarrow x^2=35x$

$x \neq 0 \Rightarrow x=\boxed{35}$

Let that number be $x$ So, $x = \frac {x}{5} \times \frac {x}{7}$ $\implies x = \frac {x^2}{35}$ $\implies \frac {x}{35} = 1$ $\implies x = 35$ Therefore, the number is $\boxed {35}$