71168256 has 216 divisors, whose sum is σ = 229582080. Its totient is φ = 21086208.

The previous prime is 71168249. The next prime is 71168261. The reversal of 71168256 is 65286117.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71168256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900825 + ... + 900903.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^71168256 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 71168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791040).

71168256 is an abundant number, since it is smaller than the sum of its proper divisors (158413824).

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

71168256 is a wasteful number, since it uses less digits than its factorization.

71168256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 71168256 is about 8436.1280217882. The cubic root of 71168256 is about 414.4086142821.

The spelling of 71168256 in words is "seventy-one million, one hundred sixty-eight thousand, two hundred fifty-six".