82712232 has 64 divisors (see below), whose sum is σ = 239760000. Its totient is φ = 26370432.

The previous prime is 82712207. The next prime is 82712249. The reversal of 82712232 is 23221728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82712196 and 82712205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3357 + ... + 13292.

It is an arithmetic number, because the mean of its divisors is an integer number (3746250).

Almost surely, 2^82712232 is an apocalyptic number.

It is an amenable number.

82712232 is an abundant number, since it is smaller than the sum of its proper divisors (157047768).

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

82712232 is a wasteful number, since it uses less digits than its factorization.

82712232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16687 (or 16677 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 82712232 is about 9094.6265453838. The cubic root of 82712232 is about 435.7023611791.

It can be divided in two parts, 82712 and 232, that added together give a square (82944 = 288²).

The spelling of 82712232 in words is "eighty-two million, seven hundred twelve thousand, two hundred thirty-two".