71509768 has 48 divisors (see below), whose sum is σ = 154442160. Its totient is φ = 30780000.

The previous prime is 71509747. The next prime is 71509793. The reversal of 71509768 is 86790517.

It is a super-2 number, since 2×71509768² = 10227293838827648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30643 + ... + 32893.

It is an arithmetic number, because the mean of its divisors is an integer number (3217545).

Almost surely, 2^71509768 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 71509768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77221080).

71509768 is an abundant number, since it is smaller than the sum of its proper divisors (82932392).

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

71509768 is a wasteful number, since it uses less digits than its factorization.

71509768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 71509768 is about 8456.3448368666. The cubic root of 71509768 is about 415.0704249767.

The spelling of 71509768 in words is "seventy-one million, five hundred nine thousand, seven hundred sixty-eight".