71256906 has 96 divisors (see below), whose sum is σ = 183226368. Its totient is φ = 19595520.

The previous prime is 71256901. The next prime is 71256907. The reversal of 71256906 is 60965217.

It is not an unprimeable number, because it can be changed into a prime (71256901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561015 + ... + 561141.

It is an arithmetic number, because the mean of its divisors is an integer number (1908608).

Almost surely, 2^71256906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71256906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91613184).

71256906 is an abundant number, since it is smaller than the sum of its proper divisors (111969462).

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

71256906 is a wasteful number, since it uses less digits than its factorization.

71256906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 71256906 is about 8441.3805742900. The cubic root of 71256906 is about 414.5806108174.

The spelling of 71256906 in words is "seventy-one million, two hundred fifty-six thousand, nine hundred six".