82578112 has 56 divisors (see below), whose sum is σ = 176113440. Its totient is φ = 38277120.

The previous prime is 82578071. The next prime is 82578127. The reversal of 82578112 is 21187528.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76714 + ... + 77782.

Almost surely, 2^82578112 is an apocalyptic number.

82578112 is the 4544-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88056720).

82578112 is an abundant number, since it is smaller than the sum of its proper divisors (93535328).

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

82578112 is a wasteful number, since it uses less digits than its factorization.

82578112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1159 counting only the distinct ones).

The product of its digits is 8960, while the sum is 34.

The square root of 82578112 is about 9087.2499690500. The cubic root of 82578112 is about 435.4667329328.

The spelling of 82578112 in words is "eighty-two million, five hundred seventy-eight thousand, one hundred twelve".