82242720 has 288 divisors, whose sum is σ = 330220800. Its totient is φ = 18247680.

The previous prime is 82242707. The next prime is 82242737. The reversal of 82242720 is 2724228.

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

It is an unprimeable number.

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, 413181 + ... + 413379.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^82242720 is an apocalyptic number.

82242720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

82242720 is an abundant number, since it is smaller than the sum of its proper divisors (247978080).

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

82242720 is a wasteful number, since it uses less digits than its factorization.

82242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 82242720 is about 9068.7772053348. Note that the first 3 decimals coincide. The cubic root of 82242720 is about 434.8763818375.

Adding to 82242720 its reverse (2724228), we get a palindrome (84966948).

The spelling of 82242720 in words is "eighty-two million, two hundred forty-two thousand, seven hundred twenty".