82345872 has 120 divisors (see below), whose sum is σ = 250150656. Its totient is φ = 23272704.

The previous prime is 82345859. The next prime is 82345897. The reversal of 82345872 is 27854328.

It is a self number, because there is not a number n which added to its sum of digits gives 82345872.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369153 + ... + 369375.

Almost surely, 2^82345872 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 82345872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125075328).

82345872 is an abundant number, since it is smaller than the sum of its proper divisors (167804784).

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

82345872 is a wasteful number, since it uses less digits than its factorization.

82345872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 82345872 is about 9074.4626287180. The cubic root of 82345872 is about 435.0581188035.

The spelling of 82345872 in words is "eighty-two million, three hundred forty-five thousand, eight hundred seventy-two".