71390368 has 48 divisors (see below), whose sum is σ = 164070144. Its totient is φ = 29940480.

The previous prime is 71390359. The next prime is 71390377. The reversal of 71390368 is 86309317.

71390368 = 157³ + 158³ + ... + 172³.

It is an interprime number because it is at equal distance from previous prime (71390359) and next prime (71390377).

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, 7138 + ... + 13918.

It is an arithmetic number, because the mean of its divisors is an integer number (3418128).

Almost surely, 2^71390368 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 71390368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82035072).

71390368 is an abundant number, since it is smaller than the sum of its proper divisors (92679776).

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

71390368 is a wasteful number, since it uses less digits than its factorization.

71390368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 71390368 is about 8449.2820996816. The cubic root of 71390368 is about 414.8392816477.

The spelling of 71390368 in words is "seventy-one million, three hundred ninety thousand, three hundred sixty-eight".