82605072 has 80 divisors (see below), whose sum is σ = 235252800. Its totient is φ = 24768000.

The previous prime is 82605043. The next prime is 82605077. The reversal of 82605072 is 27050628.

It is not an unprimeable number, because it can be changed into a prime (82605077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52554 + ... + 54102.

It is an arithmetic number, because the mean of its divisors is an integer number (2940660).

Almost surely, 2^82605072 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 82605072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117626400).

82605072 is an abundant number, since it is smaller than the sum of its proper divisors (152647728).

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

82605072 is a wasteful number, since it uses less digits than its factorization.

82605072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 82605072 is about 9088.7332450678. The cubic root of 82605072 is about 435.5141179901.

The spelling of 82605072 in words is "eighty-two million, six hundred five thousand, seventy-two".