71364832 has 72 divisors (see below), whose sum is σ = 176562288. Its totient is φ = 27793920.

The previous prime is 71364829. The next prime is 71364841. The reversal of 71364832 is 23846317.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25788 + ... + 28420.

It is an arithmetic number, because the mean of its divisors is an integer number (2452254).

Almost surely, 2^71364832 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 71364832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88281144).

71364832 is an abundant number, since it is smaller than the sum of its proper divisors (105197456).

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

71364832 is a wasteful number, since it uses less digits than its factorization.

71364832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2653 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 71364832 is about 8447.7708302250. The cubic root of 71364832 is about 414.7898137269.

The spelling of 71364832 in words is "seventy-one million, three hundred sixty-four thousand, eight hundred thirty-two".