82323972 has 96 divisors (see below), whose sum is σ = 224215040. Its totient is φ = 26088480.

The previous prime is 82323947. The next prime is 82324007. The reversal of 82323972 is 27932328.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224133 + ... + 224499.

Almost surely, 2^82323972 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 82323972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112107520).

82323972 is an abundant number, since it is smaller than the sum of its proper divisors (141891068).

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

82323972 is a wasteful number, since it uses less digits than its factorization.

82323972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 82323972 is about 9073.2558654543. The cubic root of 82323972 is about 435.0195472786.

The spelling of 82323972 in words is "eighty-two million, three hundred twenty-three thousand, nine hundred seventy-two".