71385312 has 144 divisors (see below), whose sum is σ = 207954432. Its totient is φ = 21411840.

The previous prime is 71385263. The next prime is 71385341. The reversal of 71385312 is 21358317.

It is a self number, because there is not a number n which added to its sum of digits gives 71385312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860023 + ... + 860105.

It is an arithmetic number, because the mean of its divisors is an integer number (1444128).

Almost surely, 2^71385312 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 71385312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103977216).

71385312 is an abundant number, since it is smaller than the sum of its proper divisors (136569120).

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

71385312 is a wasteful number, since it uses less digits than its factorization.

71385312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 71385312 is about 8448.9828973670. The cubic root of 71385312 is about 414.8294881840.

The spelling of 71385312 in words is "seventy-one million, three hundred eighty-five thousand, three hundred twelve".