82035872 has 48 divisors (see below), whose sum is σ = 166253472. Its totient is φ = 39832320.

The previous prime is 82035859. The next prime is 82035881. The reversal of 82035872 is 27853028.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 177722 + ... + 178182.

It is an arithmetic number, because the mean of its divisors is an integer number (3463614).

Almost surely, 2^82035872 is an apocalyptic number.

It is an amenable number.

82035872 is an abundant number, since it is smaller than the sum of its proper divisors (84217600).

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

82035872 is a wasteful number, since it uses less digits than its factorization.

82035872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 82035872 is about 9057.3656214155. The cubic root of 82035872 is about 434.5114910646.

The spelling of 82035872 in words is "eighty-two million, thirty-five thousand, eight hundred seventy-two".