73071 has 12 divisors (see below), whose sum is σ = 110448. Its totient is φ = 46464.

The previous prime is 73063. The next prime is 73079. The reversal of 73071 is 17037.

73071 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (73063) and next prime (73079).

It is not a de Polignac number, because 73071 - 2³ = 73063 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73071.

It is not an unprimeable number, because it can be changed into a prime (73079) 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 11 ways as a sum of consecutive naturals, for example, 31 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (9204).

2⁷³⁰⁷¹ is an apocalyptic number.

73071 is a deficient number, since it is larger than the sum of its proper divisors (37377).

73071 is a wasteful number, since it uses less digits than its factorization.

73071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 379 counting only the distinct ones).

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

The square root of 73071 is about 270.3164811846. The cubic root of 73071 is about 41.8069370293.

The spelling of 73071 in words is "seventy-three thousand, seventy-one", and thus it is an iban number.