82573772232 has 128 divisors (see below), whose sum is σ = 243762831360. Its totient is φ = 22810152960.

The previous prime is 82573772231. The next prime is 82573772233. The reversal of 82573772232 is 23227737528.

It is an interprime number because it is at equal distance from previous prime (82573772231) and next prime (82573772233).

It is not an unprimeable number, because it can be changed into a prime (82573772231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6050088 + ... + 6063720.

It is an arithmetic number, because the mean of its divisors is an integer number (1904397120).

Almost surely, 2^82573772232 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 82573772232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121881415680).

82573772232 is an abundant number, since it is smaller than the sum of its proper divisors (161189059128).

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

82573772232 is a wasteful number, since it uses less digits than its factorization.

82573772232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14843 (or 14839 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 48.

The spelling of 82573772232 in words is "eighty-two billion, five hundred seventy-three million, seven hundred seventy-two thousand, two hundred thirty-two".