71333856 has 216 divisors, whose sum is σ = 235282320. Its totient is φ = 20444160.

The previous prime is 71333837. The next prime is 71333863. The reversal of 71333856 is 65833317.

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 71333856.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 801460 + ... + 801548.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^71333856 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 71333856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

71333856 is an abundant number, since it is smaller than the sum of its proper divisors (163948464).

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

71333856 is a wasteful number, since it uses less digits than its factorization.

71333856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 71333856 is about 8445.9372481685. The cubic root of 71333856 is about 414.7297916855.

The spelling of 71333856 in words is "seventy-one million, three hundred thirty-three thousand, eight hundred fifty-six".