71996320 has 96 divisors (see below), whose sum is σ = 195410880. Its totient is φ = 24791040.

The previous prime is 71996317. The next prime is 71996321. The reversal of 71996320 is 2369917.

It is a self number, because there is not a number n which added to its sum of digits gives 71996320.

It is not an unprimeable number, because it can be changed into a prime (71996321) 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, 32364 + ... + 34516.

It is an arithmetic number, because the mean of its divisors is an integer number (2035530).

Almost surely, 2^71996320 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 71996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97705440).

71996320 is an abundant number, since it is smaller than the sum of its proper divisors (123414560).

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

71996320 is a wasteful number, since it uses less digits than its factorization.

71996320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 71996320 is about 8485.0645253881. The cubic root of 71996320 is about 416.0096767966.

The spelling of 71996320 in words is "seventy-one million, nine hundred ninety-six thousand, three hundred twenty".