71578368 has 108 divisors (see below), whose sum is σ = 211087968. Its totient is φ = 23316480.

The previous prime is 71578363. The next prime is 71578373. The reversal of 71578368 is 86387517.

71578368 is a `hidden beast` number, since 71 + 578 + 3 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (71578363) and next prime (71578373).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (71578363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107958 + ... + 108618.

Almost surely, 2^71578368 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 71578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105543984).

71578368 is an abundant number, since it is smaller than the sum of its proper divisors (139509600).

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

71578368 is a wasteful number, since it uses less digits than its factorization.

71578368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 713 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 71578368 is about 8460.3999905442. The cubic root of 71578368 is about 415.2031095583.

The spelling of 71578368 in words is "seventy-one million, five hundred seventy-eight thousand, three hundred sixty-eight".