82272528 has 120 divisors (see below), whose sum is σ = 251858880. Its totient is φ = 24917760.

The previous prime is 82272523. The next prime is 82272539. The reversal of 82272528 is 82527228.

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

It is a junction number, because it is equal to n+sod(n) for n = 82272492 and 82272501.

It is not an unprimeable number, because it can be changed into a prime (82272521) 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 23 ways as a sum of consecutive naturals, for example, 132603 + ... + 133221.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^82272528 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 82272528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

82272528 is an abundant number, since it is smaller than the sum of its proper divisors (169586352).

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

82272528 is a wasteful number, since it uses less digits than its factorization.

82272528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 82272528 is about 9070.4204974191. The cubic root of 82272528 is about 434.9289142660.

The spelling of 82272528 in words is "eighty-two million, two hundred seventy-two thousand, five hundred twenty-eight".