71566872 has 128 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 20367360.

The previous prime is 71566837. The next prime is 71566931. The reversal of 71566872 is 27866517.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546247 + ... + 546377.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^71566872 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 71566872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

71566872 is an abundant number, since it is smaller than the sum of its proper divisors (136000488).

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

71566872 is a wasteful number, since it uses less digits than its factorization.

71566872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 71566872 is about 8459.7205627609. The cubic root of 71566872 is about 415.1808801677.

It can be divided in two parts, 7156 and 6872, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 71566872 in words is "seventy-one million, five hundred sixty-six thousand, eight hundred seventy-two".