Search a number
72227 is a prime number
BaseRepresentation
bin10001101000100011
310200002002
4101220203
54302402
61314215
7420401
oct215043
9120062
1072227
114a2a1
123596b
1326b4c
141c471
1516602
hex11a23

72227 has 2 divisors, whose sum is σ = 72228. Its totient is φ = 72226.

The previous prime is 72223. The next prime is 72229.

72227 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 72227 - 22 = 72223 is a prime.

Together with 72229, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72199 and 72208.

It is not a weakly prime, because it can be changed into another prime (72221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36113 + 36114.

It is an arithmetic number, because the mean of its divisors is an integer number (36114).

272227 is an apocalyptic number.

72227 is a deficient number, since it is larger than the sum of its proper divisors (1).

72227 is an equidigital number, since it uses as much as digits as its factorization.

72227 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 392, while the sum is 20.

The square root of 72227 is about 268.7508139523. The cubic root of 72227 is about 41.6453508749.

The spelling of 72227 in words is "seventy-two thousand, two hundred twenty-seven", and thus it is an iban number.