71384872 has 32 divisors (see below), whose sum is σ = 145061280. Its totient is φ = 32736960.

The previous prime is 71384861. The next prime is 71384879. The reversal of 71384872 is 27848317.

It is not an unprimeable number, because it can be changed into a prime (71384879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14847 + ... + 19057.

It is an arithmetic number, because the mean of its divisors is an integer number (4533165).

Almost surely, 2^71384872 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 71384872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72530640).

71384872 is an abundant number, since it is smaller than the sum of its proper divisors (73676408).

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

71384872 is a wasteful number, since it uses less digits than its factorization.

71384872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4389 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 71384872 is about 8448.9568586897. The cubic root of 71384872 is about 414.8286358829.

The spelling of 71384872 in words is "seventy-one million, three hundred eighty-four thousand, eight hundred seventy-two".