82307472 has 80 divisors (see below), whose sum is σ = 242484480. Its totient is φ = 23832576.

The previous prime is 82307471. The next prime is 82307473. The reversal of 82307472 is 27470328.

It is an interprime number because it is at equal distance from previous prime (82307471) and next prime (82307473).

It is not an unprimeable number, because it can be changed into a prime (82307471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6729 + ... + 14487.

It is an arithmetic number, because the mean of its divisors is an integer number (3031056).

Almost surely, 2^82307472 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 82307472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121242240).

82307472 is an abundant number, since it is smaller than the sum of its proper divisors (160177008).

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

82307472 is a wasteful number, since it uses less digits than its factorization.

82307472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 82307472 is about 9072.3465542273. The cubic root of 82307472 is about 434.9904820219.

The spelling of 82307472 in words is "eighty-two million, three hundred seven thousand, four hundred seventy-two".