25. As shown in Figure 1, in the upper half-plane of the coordinate plane, there are several circles forming a set. These circles are all tangent to the $x$-axis. The outermost layer (the $L_{0}$ layer) consists of two externally tangent circles with radii $70^{2}$ and $73^{2}$. On $\bigcup_{j=0}^{k-1} L_{j}(k \geqslant 1)$, for every two adjacent circles, a new circle is exactly externally tangent to both of these circles. According to this rule, the $L_{k}$ layer has $2^{k-1}$ circles.

Let $S=\bigcup_{j=0}^{6} L_{j}$, and for each circle $C$, its radius is denoted as $r(C)$. Then $\sum_{C \in S} \frac{1}{\sqrt{r(C)}}$ is $(\quad)$.
(A) $\frac{286}{35}$
(B) $\frac{583}{70}$
(C) $\frac{715}{73}$
(D) $\frac{143}{14}$
(E) $\frac{1573}{146}$
5. D.

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