71225856 has 240 divisors, whose sum is σ = 234594360. Its totient is φ = 20643840.

The previous prime is 71225837. The next prime is 71225867. The reversal of 71225856 is 65852217.

It is a happy number.

71225856 is a `hidden beast` number, since 71 + 2 + 2 + 585 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30470400 + 40755456 = 5520^2 + 6384^2 .

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 71225856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737196 + ... + 1737236.

Almost surely, 2^71225856 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 71225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297180).

71225856 is an abundant number, since it is smaller than the sum of its proper divisors (163368504).

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

71225856 is a wasteful number, since it uses less digits than its factorization.

71225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 71225856 is about 8439.5412197583. The cubic root of 71225856 is about 414.5203846167.

The spelling of 71225856 in words is "seventy-one million, two hundred twenty-five thousand, eight hundred fifty-six".