71255808 has 216 divisors, whose sum is σ = 231912240. Its totient is φ = 21565440.

The previous prime is 71255801. The next prime is 71255819. The reversal of 71255808 is 80855217.

71255808 is a `hidden beast` number, since 71 + 2 + 5 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71255801) by changing a digit.

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, 1168098 + ... + 1168158.

Almost surely, 2^71255808 is an apocalyptic number.

71255808 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71255808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115956120).

71255808 is an abundant number, since it is smaller than the sum of its proper divisors (160656432).

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

71255808 is a wasteful number, since it uses less digits than its factorization.

71255808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 71255808 is about 8441.3155372845. The cubic root of 71255808 is about 414.5784813777.

The spelling of 71255808 in words is "seventy-one million, two hundred fifty-five thousand, eight hundred eight".