71133084 has 72 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 21442080.

The previous prime is 71133079. The next prime is 71133091. The reversal of 71133084 is 48033117.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103807 + ... + 104489.

It is an arithmetic number, because the mean of its divisors is an integer number (2738736).

Almost surely, 2^71133084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71133084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

71133084 is an abundant number, since it is smaller than the sum of its proper divisors (126055908).

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

71133084 is a wasteful number, since it uses less digits than its factorization.

71133084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71133084 is about 8434.0431585332. The cubic root of 71133084 is about 414.3403348628.

The spelling of 71133084 in words is "seventy-one million, one hundred thirty-three thousand, eighty-four".