71508768 has 48 divisors (see below), whose sum is σ = 188991936. Its totient is φ = 23673600.

The previous prime is 71508757. The next prime is 71508791. The reversal of 71508768 is 86780517.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×71508768² = 10227007801755648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12030 + ... + 16962.

It is an arithmetic number, because the mean of its divisors is an integer number (3937332).

Almost surely, 2^71508768 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 71508768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94495968).

71508768 is an abundant number, since it is smaller than the sum of its proper divisors (117483168).

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

71508768 is a wasteful number, since it uses less digits than its factorization.

71508768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 71508768 is about 8456.2857094590. The cubic root of 71508768 is about 415.0684901718.

The spelling of 71508768 in words is "seventy-one million, five hundred eight thousand, seven hundred sixty-eight".