82728712 has 32 divisors (see below), whose sum is σ = 169891200. Its totient is φ = 37454400.

The previous prime is 82728697. The next prime is 82728713. The reversal of 82728712 is 21782728.

It is a happy number.

82728712 is a modest number, since divided by 8712 gives 8272 as remainder.

It is not an unprimeable number, because it can be changed into a prime (82728713) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22114 + ... + 25582.

It is an arithmetic number, because the mean of its divisors is an integer number (5309100).

Almost surely, 2^82728712 is an apocalyptic number.

It is an amenable number.

82728712 is an abundant number, since it is smaller than the sum of its proper divisors (87162488).

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

82728712 is a wasteful number, since it uses less digits than its factorization.

82728712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3753 counting only the distinct ones).

The product of its digits is 25088, while the sum is 37.

The square root of 82728712 is about 9095.5325297643. The cubic root of 82728712 is about 435.7312964322.

The spelling of 82728712 in words is "eighty-two million, seven hundred twenty-eight thousand, seven hundred twelve".