82644072 has 128 divisors (see below), whose sum is σ = 263347200. Its totient is φ = 21040128.

The previous prime is 82644043. The next prime is 82644077. The reversal of 82644072 is 27044628.

It is not an unprimeable number, because it can be changed into a prime (82644077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53503 + ... + 55025.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^82644072 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 82644072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

82644072 is an abundant number, since it is smaller than the sum of its proper divisors (180703128).

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

82644072 is a wasteful number, since it uses less digits than its factorization.

82644072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 82644072 is about 9090.8785054031. The cubic root of 82644072 is about 435.5826463821.

The spelling of 82644072 in words is "eighty-two million, six hundred forty-four thousand, seventy-two".