71573680 has 40 divisors (see below), whose sum is σ = 168765984. Its totient is φ = 28224000.

The previous prime is 71573669. The next prime is 71573693. The reversal of 71573680 is 8637517.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621 + ... + 11980.

Almost surely, 2^71573680 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 71573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84382992).

71573680 is an abundant number, since it is smaller than the sum of its proper divisors (97192304).

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

71573680 is a wasteful number, since it uses less digits than its factorization.

71573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12685 (or 12679 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 71573680 is about 8460.1229305489. The cubic root of 71573680 is about 415.1940448332.

The spelling of 71573680 in words is "seventy-one million, five hundred seventy-three thousand, six hundred eighty".