82486872 has 72 divisors (see below), whose sum is σ = 241944300. Its totient is φ = 25376832.

The previous prime is 82486867. The next prime is 82486889. The reversal of 82486872 is 27868428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 8779 + ... + 15557.

Almost surely, 2^82486872 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 82486872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120972150).

82486872 is an abundant number, since it is smaller than the sum of its proper divisors (159457428).

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

82486872 is a wasteful number, since it uses less digits than its factorization.

82486872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6797 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 82486872 is about 9082.2283609255. The cubic root of 82486872 is about 435.3062924079.

The spelling of 82486872 in words is "eighty-two million, four hundred eighty-six thousand, eight hundred seventy-two".