71321964 has 48 divisors (see below), whose sum is σ = 191283456. Its totient is φ = 20260800.

The previous prime is 71321963. The next prime is 71322007. The reversal of 71321964 is 46912317.

It is not an unprimeable number, because it can be changed into a prime (71321963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12859 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (3985072).

Almost surely, 2^71321964 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 71321964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95641728).

71321964 is an abundant number, since it is smaller than the sum of its proper divisors (119961492).

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

71321964 is a wasteful number, since it uses less digits than its factorization.

71321964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4884 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 71321964 is about 8445.2332117000. The cubic root of 71321964 is about 414.7067440003.

The spelling of 71321964 in words is "seventy-one million, three hundred twenty-one thousand, nine hundred sixty-four".