72111766289 has 2 divisors, whose sum is σ = 72111766290. Its totient is φ = 72111766288.

The previous prime is 72111766249. The next prime is 72111766339. The reversal of 72111766289 is 98266711127.

It is a happy number.

It is an a-pointer prime, because the next prime (72111766339) can be obtained adding 72111766289 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63604840000 + 8506926289 = 252200^2 + 92233^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72111766289 is a prime.

It is a super-4 number, since 4×72111766289⁴ (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (72111766229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36055883144 + 36055883145.

It is an arithmetic number, because the mean of its divisors is an integer number (36055883145).

Almost surely, 2^72111766289 is an apocalyptic number.

It is an amenable number.

72111766289 is a deficient number, since it is larger than the sum of its proper divisors (1).

72111766289 is an equidigital number, since it uses as much as digits as its factorization.

72111766289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 50.

The spelling of 72111766289 in words is "seventy-two billion, one hundred eleven million, seven hundred sixty-six thousand, two hundred eighty-nine".