82855872 has 140 divisors (see below), whose sum is σ = 268123416. Its totient is φ = 25090560.

The previous prime is 82855837. The next prime is 82855889. The reversal of 82855872 is 27855828.

82855872 is a `hidden beast` number, since 8 + 28 + 558 + 72 = 666.

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 19 ways as a sum of consecutive naturals, for example, 56298 + ... + 57750.

Almost surely, 2^82855872 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 82855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134061708).

82855872 is an abundant number, since it is smaller than the sum of its proper divisors (185267544).

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

82855872 is a wasteful number, since it uses less digits than its factorization.

82855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1469 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 82855872 is about 9102.5200906123. The cubic root of 82855872 is about 435.9544322941.

The spelling of 82855872 in words is "eighty-two million, eight hundred fifty-five thousand, eight hundred seventy-two".