71073 has 12 divisors (see below), whose sum is σ = 105300. Its totient is φ = 46176.

The previous prime is 71069. The next prime is 71081. The reversal of 71073 is 37017.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 42849 = 168^2 + 207^2 .

It is not a de Polignac number, because 71073 - 2² = 71069 is a prime.

71073 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (71023) 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, 403 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2⁷¹⁰⁷³ is an apocalyptic number.

It is an amenable number.

71073 is a deficient number, since it is larger than the sum of its proper divisors (34227).

71073 is a wasteful number, since it uses less digits than its factorization.

71073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 71073 is about 266.5951987565. The cubic root of 71073 is about 41.4223641682.

It can be divided in two parts, 7107 and 3, that multiplied together give a triangular number (21321 = T₂₀₆).

The spelling of 71073 in words is "seventy-one thousand, seventy-three", and thus it is an iban number.