[Cressi]

60 is . . . ?

60 is one less than 61.

[Equinox]

60 is one less than 61.

But one more than 61 is 62.

[Eclipse]

But one more than 61 is 62.

One more than that is 63...

[Equinox]

One more than that is 63...

But then there's 64...

[Cressi]

But then there's 64...

...which is the square of eight, which timed by five and added to 25 is 65.

[Eclipse]

...which is the square of eight, which timed by five and added to 25 is 65.

66 is a sphenic number, a triangular number, a hexagonal number, and a semi-meandric number. Being a multiple of a perfect number, 66 is itself a semiperfect number.
Since it is possible to find sequences of 66 consecutive integers such that each inner member shares a factor with either the first or the last member, 66 is an Erdős–Woods number.

[Cressi]

66 is a sphenic number, a triangular number, a hexagonal number, and a semi-meandric number. Being a multiple of a perfect number, 66 is itself a semiperfect number.
Since it is possible to find sequences of 66 consecutive integers such that each inner member shares a factor with either the first or the last member, 66 is an Erdős–Woods number.

Indeed, my dear fellow human being.

67 is impossible to factorize, as it is a Pillai prime (18! + 1), as well as a Heegner number.

[lux]

Fancy a 68? Blow me now and I'll give you 1 later.

[Eclipse]

69 is a common sex position.

[Equinox]

But that seventy though..