71564560 has 80 divisors (see below), whose sum is σ = 178260912. Its totient is φ = 26624000.

The previous prime is 71564539. The next prime is 71564573. The reversal of 71564560 is 6546517.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4717584 + 66846976 = 2172^2 + 8176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137100 + ... + 137620.

Almost surely, 2^71564560 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 71564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89130456).

71564560 is an abundant number, since it is smaller than the sum of its proper divisors (106696352).

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

71564560 is a wasteful number, since it uses less digits than its factorization.

71564560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 71564560 is about 8459.5839141178. The cubic root of 71564560 is about 415.1764092511.

The spelling of 71564560 in words is "seventy-one million, five hundred sixty-four thousand, five hundred sixty".