72162269 has 2 divisors, whose sum is σ = 72162270. Its totient is φ = 72162268.

The previous prime is 72162257. The next prime is 72162271. The reversal of 72162269 is 96226127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67453369 + 4708900 = 8213^2 + 2170^2 .

It is a cyclic number.

It is not a de Polignac number, because 72162269 - 2⁴ = 72162253 is a prime.

It is a super-3 number, since 3×72162269³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 72162271, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72162169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36081134 + 36081135.

It is an arithmetic number, because the mean of its divisors is an integer number (36081135).

Almost surely, 2^72162269 is an apocalyptic number.

It is an amenable number.

72162269 is a deficient number, since it is larger than the sum of its proper divisors (1).

72162269 is an equidigital number, since it uses as much as digits as its factorization.

72162269 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 72162269 is about 8494.8377853847. The cubic root of 72162269 is about 416.3290607851.

The spelling of 72162269 in words is "seventy-two million, one hundred sixty-two thousand, two hundred sixty-nine".