72769089169 has 16 divisors (see below), whose sum is σ = 89171366400. Its totient is φ = 57961373184.

The previous prime is 72769089167. The next prime is 72769089181. The reversal of 72769089169 is 96198096727.

It is a cyclic number.

It is not a de Polignac number, because 72769089169 - 2¹ = 72769089167 is a prime.

It is a super-2 number, since 2×72769089169² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72769089169.

It is not an unprimeable number, because it can be changed into a prime (72769089167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3860884 + ... + 3879685.

It is an arithmetic number, because the mean of its divisors is an integer number (5573210400).

Almost surely, 2^72769089169 is an apocalyptic number.

72769089169 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

72769089169 is a deficient number, since it is larger than the sum of its proper divisors (16402277231).

72769089169 is a wasteful number, since it uses less digits than its factorization.

72769089169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740672.

The product of its (nonzero) digits is 20575296, while the sum is 64.

The spelling of 72769089169 in words is "seventy-two billion, seven hundred sixty-nine million, eighty-nine thousand, one hundred sixty-nine".