71804320 has 96 divisors (see below), whose sum is σ = 197237376. Its totient is φ = 24192000.

The previous prime is 71804279. The next prime is 71804351. The reversal of 71804320 is 2340817.

71804320 is nontrivially palindromic in base 3.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67795 + ... + 68845.

It is an arithmetic number, because the mean of its divisors is an integer number (2054556).

Almost surely, 2^71804320 is an apocalyptic number.

71804320 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 71804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98618688).

71804320 is an abundant number, since it is smaller than the sum of its proper divisors (125433056).

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

71804320 is a wasteful number, since it uses less digits than its factorization.

71804320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 71804320 is about 8473.7429746246. The cubic root of 71804320 is about 415.6395422956.

The spelling of 71804320 in words is "seventy-one million, eight hundred four thousand, three hundred twenty".