82293672 has 64 divisors (see below), whose sum is σ = 211896000. Its totient is φ = 26622464.

The previous prime is 82293671. The next prime is 82293691. The reversal of 82293672 is 27639228.

It is a self number, because there is not a number n which added to its sum of digits gives 82293672.

It is not an unprimeable number, because it can be changed into a prime (82293671) 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, 125698 + ... + 126350.

It is an arithmetic number, because the mean of its divisors is an integer number (3310875).

Almost surely, 2^82293672 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 82293672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105948000).

82293672 is an abundant number, since it is smaller than the sum of its proper divisors (129602328).

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

82293672 is a wasteful number, since it uses less digits than its factorization.

82293672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 82293672 is about 9071.5859693882. The cubic root of 82293672 is about 434.9661699150.

The spelling of 82293672 in words is "eighty-two million, two hundred ninety-three thousand, six hundred seventy-two".