71395104 has 192 divisors, whose sum is σ = 224042112. Its totient is φ = 19660800.

The previous prime is 71395097. The next prime is 71395117. The reversal of 71395104 is 40159317.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735984 + ... + 736080.

It is an arithmetic number, because the mean of its divisors is an integer number (1166886).

Almost surely, 2^71395104 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 71395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112021056).

71395104 is an abundant number, since it is smaller than the sum of its proper divisors (152647008).

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

71395104 is a wasteful number, since it uses less digits than its factorization.

71395104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 71395104 is about 8449.5623555306. The cubic root of 71395104 is about 414.8484548525.

The spelling of 71395104 in words is "seventy-one million, three hundred ninety-five thousand, one hundred four".