71873841 has 48 divisors (see below), whose sum is σ = 113840640. Its totient is φ = 40135680.

The previous prime is 71873839. The next prime is 71873849. The reversal of 71873841 is 14837817.

It is not a de Polignac number, because 71873841 - 2¹ = 71873839 is a prime.

It is a super-3 number, since 3×71873841³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 71873841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71873849) 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 47 ways as a sum of consecutive naturals, for example, 267055 + ... + 267323.

It is an arithmetic number, because the mean of its divisors is an integer number (2371680).

Almost surely, 2^71873841 is an apocalyptic number.

It is an amenable number.

71873841 is a deficient number, since it is larger than the sum of its proper divisors (41966799).

71873841 is a wasteful number, since it uses less digits than its factorization.

71873841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 71873841 is about 8477.8441245402. The cubic root of 71873841 is about 415.7736398727.

The spelling of 71873841 in words is "seventy-one million, eight hundred seventy-three thousand, eight hundred forty-one".