72161 has 2 divisors, whose sum is σ = 72162. Its totient is φ = 72160.

The previous prime is 72139. The next prime is 72167. The reversal of 72161 is 16127.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 1936 = 265^2 + 44^2 .

It is an emirp because it is prime and its reverse (16127) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72161 is a prime.

It is a Sophie Germain prime.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72161.

It is not a weakly prime, because it can be changed into another prime (72167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36080 + 36081.

It is an arithmetic number, because the mean of its divisors is an integer number (36081).

2⁷²¹⁶¹ is an apocalyptic number.

It is an amenable number.

72161 is a deficient number, since it is larger than the sum of its proper divisors (1).

72161 is an equidigital number, since it uses as much as digits as its factorization.

72161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 17.

The square root of 72161 is about 268.6279955626. The cubic root of 72161 is about 41.6326620338.

Adding to 72161 its reverse (16127), we get a palindrome (88288).

The spelling of 72161 in words is "seventy-two thousand, one hundred sixty-one".