72760661167 has 2 divisors, whose sum is σ = 72760661168. Its totient is φ = 72760661166.

The previous prime is 72760661089. The next prime is 72760661189. The reversal of 72760661167 is 76116606727.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72760661167 - 2¹¹ = 72760659119 is a prime.

It is a super-3 number, since 3×72760661167³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 72760661167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72760671167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36380330583 + 36380330584.

It is an arithmetic number, because the mean of its divisors is an integer number (36380330584).

Almost surely, 2^72760661167 is an apocalyptic number.

72760661167 is a deficient number, since it is larger than the sum of its proper divisors (1).

72760661167 is an equidigital number, since it uses as much as digits as its factorization.

72760661167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 889056, while the sum is 49.

The spelling of 72760661167 in words is "seventy-two billion, seven hundred sixty million, six hundred sixty-one thousand, one hundred sixty-seven".