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%I A280301 #15 Jan 01 2017 11:10:14
%S A280301 4722366482869645213696,22528399544939174411840147874772641,
%T A280301 211758236813575084767080625169910490512847900390625,
%U A280301 7031676478883553279994550741476882515263791803223057265323201,955593817727321453093807642925081991552428315714137911219172409259950196321
%N A280301 Numbers with 73 divisors.
%C A280301 Also, 72nd powers of primes.
%C A280301 More generally, the n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. In this case, p = 73.
%H A280301 OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>
%F A280301 a(n) = A000040(n)^(73-1) = A000040(n)^72.
%F A280301 A000005(a(n)) = 73.
%e A280301 a(1) = 2^72, a(2) = 3^72, a(3) = 5^72, a(4) = 7^72, a(5) = 11^72.
%t A280301 Array[Prime[#]^72 &, {5}] (* _Michael De Vlieger_, Dec 31 2016 *)
%o A280301 (PARI) a(n)=prime(n)^72
%Y A280301 Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280346, A280347, A280349, A261700.
%K A280301 nonn,easy
%O A280301 1,1
%A A280301 _Omar E. Pol_, Dec 31 2016

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