82791072 has 288 divisors, whose sum is σ = 302520960. Its totient is φ = 21835008.

The previous prime is 82791061. The next prime is 82791073. The reversal of 82791072 is 27019728.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82791073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6368538 + ... + 6368550.

It is an arithmetic number, because the mean of its divisors is an integer number (1050420).

Almost surely, 2^82791072 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 82791072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151260480).

82791072 is an abundant number, since it is smaller than the sum of its proper divisors (219729888).

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

82791072 is an equidigital number, since it uses as much as digits as its factorization.

82791072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 82791072 is about 9098.9599405646. The cubic root of 82791072 is about 435.8407520995.

The spelling of 82791072 in words is "eighty-two million, seven hundred ninety-one thousand, seventy-two".