71673 has 8 divisors (see below), whose sum is σ = 109248. Its totient is φ = 40944.

The previous prime is 71671. The next prime is 71693. The reversal of 71673 is 37617.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 71673 - 2¹ = 71671 is a prime.

71673 is a lucky number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (71671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (13656).

2⁷¹⁶⁷³ is an apocalyptic number.

It is an amenable number.

71673 is a deficient number, since it is larger than the sum of its proper divisors (37575).

71673 is a wasteful number, since it uses less digits than its factorization.

71673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423.

The product of its digits is 882, while the sum is 24.

The square root of 71673 is about 267.7181353588. The cubic root of 71673 is about 41.5386005588.

It can be divided in two parts, 7 and 1673, that multiplied together give a palindrome (11711).

The spelling of 71673 in words is "seventy-one thousand, six hundred seventy-three".