71801 has 4 divisors (see below), whose sum is σ = 75600. Its totient is φ = 68004.

The previous prime is 71789. The next prime is 71807. The reversal of 71801 is 10817.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10817 = 29 ⋅373.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71801.

It is not an unprimeable number, because it can be changed into a prime (71807) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1871 + ... + 1908.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁷¹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

71801 is a deficient number, since it is larger than the sum of its proper divisors (3799).

71801 is a wasteful number, since it uses less digits than its factorization.

71801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 71801 is about 267.9570861164. The cubic root of 71801 is about 41.5633136253.

The spelling of 71801 in words is "seventy-one thousand, eight hundred one".