71711838 has 128 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 19958400.

The previous prime is 71711837. The next prime is 71711851. The reversal of 71711838 is 83811717.

It is a Curzon number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71711837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396108 + ... + 396288.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^71711838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71711838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

71711838 is an abundant number, since it is smaller than the sum of its proper divisors (116985762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71711838 is a wasteful number, since it uses less digits than its factorization.

71711838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 9408, while the sum is 36.

The square root of 71711838 is about 8468.2842418048. The cubic root of 71711838 is about 415.4610215100.

It can be divided in two parts, 7171 and 1838, that added together give a palindrome (9009).

The spelling of 71711838 in words is "seventy-one million, seven hundred eleven thousand, eight hundred thirty-eight".