71743 has 8 divisors (see below), whose sum is σ = 84512. Its totient is φ = 59616.

The previous prime is 71741. The next prime is 71761. The reversal of 71743 is 34717.

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

It is a cyclic number.

It is not a de Polignac number, because 71743 - 2¹ = 71741 is a prime.

It is a Duffinian number.

71743 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (10564).

2⁷¹⁷⁴³ is an apocalyptic number.

71743 is a deficient number, since it is larger than the sum of its proper divisors (12769).

71743 is a wasteful number, since it uses less digits than its factorization.

71743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its digits is 588, while the sum is 22.

The square root of 71743 is about 267.8488379665. The cubic root of 71743 is about 41.5521191592.

The spelling of 71743 in words is "seventy-one thousand, seven hundred forty-three", and thus it is an iban number.