71945856 has 144 divisors (see below), whose sum is σ = 219764610. Its totient is φ = 22588416.

The previous prime is 71945851. The next prime is 71945869. The reversal of 71945856 is 65854917.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 25160256 = 6840^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (71945851) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 415786 + ... + 415958.

Almost surely, 2^71945856 is an apocalyptic number.

71945856 is a gapful number since it is divisible by the number (76) 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 71945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109882305).

71945856 is an abundant number, since it is smaller than the sum of its proper divisors (147818754).

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

71945856 is a wasteful number, since it uses less digits than its factorization.

71945856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 71945856 is about 8482.0903084087. The cubic root of 71945856 is about 415.9124569239.

The spelling of 71945856 in words is "seventy-one million, nine hundred forty-five thousand, eight hundred fifty-six".