82378872 has 144 divisors (see below), whose sum is σ = 245685960. Its totient is φ = 24910848.

The previous prime is 82378859. The next prime is 82378883. The reversal of 82378872 is 27887328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 769843 + ... + 769949.

Almost surely, 2^82378872 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 82378872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122842980).

82378872 is an abundant number, since it is smaller than the sum of its proper divisors (163307088).

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

82378872 is a wasteful number, since it uses less digits than its factorization.

82378872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 82378872 is about 9076.2807360725. The cubic root of 82378872 is about 435.1162273650.

The spelling of 82378872 in words is "eighty-two million, three hundred seventy-eight thousand, eight hundred seventy-two".