Calculator is for the dull - 3

$\begin{aligned} X & = 14752^2 + 11560 \times 14752 + \blue{7532^2} - 15064 \times 20532 + \red{5780^2} \\ & = 14752^2 + 2(\red{5780} \times 14752) + \red{5780^2} - 2(\blue{7532} \times 20532) + \blue{7532^2} \\ & = (14752+\red{5780})^2 - 2(\blue{7532} \times 20532) + \blue{7532^2} \\ & = 20532^2 - 2(\blue{7532} \times 20532) + \blue{7532^2} \\ & = (20532 - 7532)^2 = 13000^2 = \boxed{\text{169 000 000}} \end{aligned}$

Let $S=14752^2+11560×14752+7532 ^2 -15064×20532+5780 ^2$

As $11560=2\times5780$ and $15064=2\times7532$ therefore,

$S=14752^2+7532^2+5780^2+2(5780)(14752)-2(7532)(20532)$

As $20532=5780+14752$ therefore,

$S=14752^2+7532^2+5780^2+2(5780)(14752)-2(7532)(5780+14752)$

$S=14752^2+7532^2+5780^2+2(5780)(14752)-2(7532)(5780)-2(7532)(14752)$

$S=14752^2+(-7532)^2+5780^2+2(5780)(14752)+2(-7532)(5780)+2(-7532)(14752)$

As $(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2xz$ therefore,

$S=(14752-7532+5780)^2=13000^2=\boxed{169000000}$

Answer is $169000000$