71588480 has 32 divisors (see below), whose sum is σ = 171142740. Its totient is φ = 28635136.

The previous prime is 71588477. The next prime is 71588483. The reversal of 71588480 is 8488517.

It is an interprime number because it is at equal distance from previous prime (71588477) and next prime (71588483).

It can be written as a sum of positive squares in 2 ways, for example, as 65157184 + 6431296 = 8072^2 + 2536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (71588483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55289 + ... + 56568.

Almost surely, 2^71588480 is an apocalyptic number.

It is an amenable number.

71588480 is an abundant number, since it is smaller than the sum of its proper divisors (99554260).

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

71588480 is a wasteful number, since it uses less digits than its factorization.

71588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111876 (or 111864 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 71588480 is about 8460.9975771182. The cubic root of 71588480 is about 415.2226607917. Note that the first 3 decimals are identical.

Adding to 71588480 its sum of digits (41), we get a square (71588521 = 8461²).

The spelling of 71588480 in words is "seventy-one million, five hundred eighty-eight thousand, four hundred eighty".