82730232 has 96 divisors (see below), whose sum is σ = 243188400. Its totient is φ = 25406784.

The previous prime is 82730203. The next prime is 82730257. The reversal of 82730232 is 23203728.

It is a junction number, because it is equal to n+sod(n) for n = 82730196 and 82730205.

It is a congruent number.

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, 157923 + ... + 158445.

Almost surely, 2^82730232 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 82730232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121594200).

82730232 is an abundant number, since it is smaller than the sum of its proper divisors (160458168).

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

82730232 is a wasteful number, since it uses less digits than its factorization.

82730232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 82730232 is about 9095.6160868849. The cubic root of 82730232 is about 435.7339650241.

The spelling of 82730232 in words is "eighty-two million, seven hundred thirty thousand, two hundred thirty-two".