82495872 has 96 divisors (see below), whose sum is σ = 249951000. Its totient is φ = 26044416.

The previous prime is 82495859. The next prime is 82495921. The reversal of 82495872 is 27859428.

82495872 is a `hidden beast` number, since 82 + 495 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 20004 + ... + 23772.

Almost surely, 2^82495872 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 82495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124975500).

82495872 is an abundant number, since it is smaller than the sum of its proper divisors (167455128).

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

82495872 is a wasteful number, since it uses less digits than its factorization.

82495872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3793 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 82495872 is about 9082.7238205287. The cubic root of 82495872 is about 435.3221236711.

The spelling of 82495872 in words is "eighty-two million, four hundred ninety-five thousand, eight hundred seventy-two".