82109072 has 20 divisors (see below), whose sum is σ = 159513600. Its totient is φ = 40944288.

The previous prime is 82109033. The next prime is 82109113. The reversal of 82109072 is 27090128.

It is a happy 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 3 ways as a sum of consecutive naturals, for example, 572 + ... + 12827.

It is an arithmetic number, because the mean of its divisors is an integer number (7975680).

Almost surely, 2^82109072 is an apocalyptic number.

It is an amenable number.

82109072 is a deficient number, since it is larger than the sum of its proper divisors (77404528).

82109072 is a wasteful number, since it uses less digits than its factorization.

82109072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790 (or 13784 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 82109072 is about 9061.4056304748. The cubic root of 82109072 is about 434.6406897712.

The spelling of 82109072 in words is "eighty-two million, one hundred nine thousand, seventy-two".