82475712 has 112 divisors (see below), whose sum is σ = 264566400. Its totient is φ = 24986880.

The previous prime is 82475699. The next prime is 82475719. The reversal of 82475712 is 21757428.

82475712 is a `hidden beast` number, since 82 + 4 + 7 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82475719) 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 15 ways as a sum of consecutive naturals, for example, 16839 + ... + 21177.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^82475712 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 82475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132283200).

82475712 is an abundant number, since it is smaller than the sum of its proper divisors (182090688).

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

82475712 is a wasteful number, since it uses less digits than its factorization.

82475712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4355 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 82475712 is about 9081.6139534777. The cubic root of 82475712 is about 435.2866600421.

The spelling of 82475712 in words is "eighty-two million, four hundred seventy-five thousand, seven hundred twelve".