82000712272 has 20 divisors (see below), whose sum is σ = 164354876820. Its totient is φ = 39586550528.

The previous prime is 82000712249. The next prime is 82000712273. The reversal of 82000712272 is 27221700028.

It can be written as a sum of positive squares in 2 ways, for example, as 16789939776 + 65210772496 = 129576^2 + 255364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000712273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88362373 + ... + 88363300.

It is an arithmetic number, because the mean of its divisors is an integer number (8217743841).

Almost surely, 2^82000712272 is an apocalyptic number.

It is an amenable number.

82000712272 is an abundant number, since it is smaller than the sum of its proper divisors (82354164548).

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

82000712272 is a wasteful number, since it uses less digits than its factorization.

82000712272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176725710 (or 176725704 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The spelling of 82000712272 in words is "eighty-two billion, seven hundred twelve thousand, two hundred seventy-two".