71901 has 8 divisors (see below), whose sum is σ = 106560. Its totient is φ = 47916.

The previous prime is 71899. The next prime is 71909. The reversal of 71901 is 10917.

It is not a de Polignac number, because 71901 - 2¹ = 71899 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71909) 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, 1305 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (13320).

2⁷¹⁹⁰¹ is an apocalyptic number.

It is an amenable number.

71901 is a deficient number, since it is larger than the sum of its proper divisors (34659).

71901 is a wasteful number, since it uses less digits than its factorization.

71901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 71901 is about 268.1436182347. The cubic root of 71901 is about 41.5826002801.

The spelling of 71901 in words is "seventy-one thousand, nine hundred one".