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72169 is a prime number
BaseRepresentation
bin10001100111101001
310122222221
4101213221
54302134
61314041
7420256
oct214751
9118887
1072169
114a249
1235921
1326b06
141c42d
15165b4
hex119e9

72169 has 2 divisors, whose sum is σ = 72170. Its totient is φ = 72168.

The previous prime is 72167. The next prime is 72173. The reversal of 72169 is 96127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 27225 = 212^2 + 165^2 .

It is a cyclic number.

It is not a de Polignac number, because 72169 - 21 = 72167 is a prime.

It is a super-2 number, since 2×721692 = 10416729122, which contains 22 as substring.

Together with 72167, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (72161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36084 + 36085.

It is an arithmetic number, because the mean of its divisors is an integer number (36085).

272169 is an apocalyptic number.

It is an amenable number.

72169 is a deficient number, since it is larger than the sum of its proper divisors (1).

72169 is an equidigital number, since it uses as much as digits as its factorization.

72169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 25.

The square root of 72169 is about 268.6428856307. The cubic root of 72169 is about 41.6342004871.

It can be divided in two parts, 7216 and 9, that added together give a square (7225 = 852).

The spelling of 72169 in words is "seventy-two thousand, one hundred sixty-nine".