71872056 has 192 divisors, whose sum is σ = 226951200. Its totient is φ = 20984832.

The previous prime is 71871991. The next prime is 71872069. The reversal of 71872056 is 65027817.

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 71872056.

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 47 ways as a sum of consecutive naturals, for example, 1942470 + ... + 1942506.

Almost surely, 2^71872056 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 71872056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113475600).

71872056 is an abundant number, since it is smaller than the sum of its proper divisors (155079144).

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

71872056 is a wasteful number, since it uses less digits than its factorization.

71872056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 71872056 is about 8477.7388494810. The cubic root of 71872056 is about 415.7701979061.

The spelling of 71872056 in words is "seventy-one million, eight hundred seventy-two thousand, fifty-six".