71882208 has 96 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 23794560.

The previous prime is 71882207. The next prime is 71882243. The reversal of 71882208 is 80228817.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71882207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 233991 + ... + 234297.

It is an arithmetic number, because the mean of its divisors is an integer number (2199120).

Almost surely, 2^71882208 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 71882208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

71882208 is an abundant number, since it is smaller than the sum of its proper divisors (139233312).

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

71882208 is a wasteful number, since it uses less digits than its factorization.

71882208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 71882208 is about 8478.3375728972. The cubic root of 71882208 is about 415.7897729703.

The spelling of 71882208 in words is "seventy-one million, eight hundred eighty-two thousand, two hundred eight".