180073 has 2 divisors, whose sum is σ = 180074. Its totient is φ = 180072.

The previous prime is 180071. The next prime is 180077. The reversal of 180073 is 370081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 56169 = 352^2 + 237^2 .

It is an emirp because it is prime and its reverse (370081) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 180073 - 2¹ = 180071 is a prime.

Together with 180071, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 180073.

It is not a weakly prime, because it can be changed into another prime (180071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90036 + 90037.

It is an arithmetic number, because the mean of its divisors is an integer number (90037).

2¹⁸⁰⁰⁷³ is an apocalyptic number.

It is an amenable number.

180073 is a deficient number, since it is larger than the sum of its proper divisors (1).

180073 is an equidigital number, since it uses as much as digits as its factorization.

180073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 180073 is about 424.3500913161. The cubic root of 180073 is about 56.4697935490.

The spelling of 180073 in words is "one hundred eighty thousand, seventy-three".