82047872 has 32 divisors (see below), whose sum is σ = 164413800. Its totient is φ = 40783360.

The previous prime is 82047857. The next prime is 82047881. The reversal of 82047872 is 27874028.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21122 + ... + 24702.

Almost surely, 2^82047872 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 82047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82206900).

82047872 is an abundant number, since it is smaller than the sum of its proper divisors (82365928).

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

82047872 is a wasteful number, since it uses less digits than its factorization.

82047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 82047872 is about 9058.0280414669. The cubic root of 82047872 is about 434.5326764459.

The spelling of 82047872 in words is "eighty-two million, forty-seven thousand, eight hundred seventy-two".