71973 has 12 divisors (see below), whose sum is σ = 113568. Its totient is φ = 43560.

The previous prime is 71971. The next prime is 71983. The reversal of 71973 is 37917.

It is not a de Polignac number, because 71973 - 2¹ = 71971 is a prime.

It is a super-2 number, since 2×71973² = 10360225458, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71971) 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 in 11 ways as a sum of consecutive naturals, for example, 265 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2⁷¹⁹⁷³ is an apocalyptic number.

It is an amenable number.

71973 is a deficient number, since it is larger than the sum of its proper divisors (41595).

71973 is a wasteful number, since it uses less digits than its factorization.

71973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 741 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 71973 is about 268.2778410529. The cubic root of 71973 is about 41.5964756013.

The spelling of 71973 in words is "seventy-one thousand, nine hundred seventy-three".