80073 has 24 divisors (see below), whose sum is σ = 139776. Its totient is φ = 43200.

The previous prime is 80071. The next prime is 80077. The reversal of 80073 is 37008.

It is not a de Polignac number, because 80073 - 2¹ = 80071 is a prime.

80073 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2⁸⁰⁰⁷³ is an apocalyptic number.

It is an amenable number.

80073 is a deficient number, since it is larger than the sum of its proper divisors (59703).

80073 is a wasteful number, since it uses less digits than its factorization.

80073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 80073 is about 282.9717300368. The cubic root of 80073 is about 43.1017959606.

The spelling of 80073 in words is "eighty thousand, seventy-three".