71328320 has 84 divisors (see below), whose sum is σ = 197624700. Its totient is φ = 24450048.

The previous prime is 71328319. The next prime is 71328329. The reversal of 71328320 is 2382317.

It can be written as a sum of positive squares in 2 ways, for example, as 39337984 + 31990336 = 6272^2 + 5656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71328320.

It is not an unprimeable number, because it can be changed into a prime (71328329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13406 + ... + 17954.

It is an arithmetic number, because the mean of its divisors is an integer number (2352675).

Almost surely, 2^71328320 is an apocalyptic number.

71328320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98812350).

71328320 is an abundant number, since it is smaller than the sum of its proper divisors (126296380).

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

71328320 is a wasteful number, since it uses less digits than its factorization.

71328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 71328320 is about 8445.6095102722. The cubic root of 71328320 is about 414.7190627757.

The spelling of 71328320 in words is "seventy-one million, three hundred twenty-eight thousand, three hundred twenty".