82753582272 has 112 divisors (see below), whose sum is σ = 220580785152. Its totient is φ = 27379952640.

The previous prime is 82753582271. The next prime is 82753582291. The reversal of 82753582272 is 27228535728.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82753582271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21092503 + ... + 21096425.

It is an arithmetic number, because the mean of its divisors is an integer number (1969471296).

Almost surely, 2^82753582272 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 82753582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110290392576).

82753582272 is an abundant number, since it is smaller than the sum of its proper divisors (137827202880).

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

82753582272 is a wasteful number, since it uses less digits than its factorization.

82753582272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4716 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 51.

The spelling of 82753582272 in words is "eighty-two billion, seven hundred fifty-three million, five hundred eighty-two thousand, two hundred seventy-two".