82072096 has 48 divisors (see below), whose sum is σ = 177508800. Its totient is φ = 37179648.

The previous prime is 82072091. The next prime is 82072121. The reversal of 82072096 is 69027028.

It is not an unprimeable number, because it can be changed into a prime (82072091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11050 + ... + 16918.

It is an arithmetic number, because the mean of its divisors is an integer number (3698100).

Almost surely, 2^82072096 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 82072096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88754400).

82072096 is an abundant number, since it is smaller than the sum of its proper divisors (95436704).

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

82072096 is a wasteful number, since it uses less digits than its factorization.

82072096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 82072096 is about 9059.3650991667. The cubic root of 82072096 is about 434.5754363759.

The spelling of 82072096 in words is "eighty-two million, seventy-two thousand, ninety-six".