82272102 has 64 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 24192000.

The previous prime is 82272097. The next prime is 82272107. The reversal of 82272102 is 20127228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82272097) and next prime (82272107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82272107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454452 + ... + 454632.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^82272102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82272102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

82272102 is an abundant number, since it is smaller than the sum of its proper divisors (102651546).

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

82272102 is a wasteful number, since it uses less digits than its factorization.

82272102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 82272102 is about 9070.3970144641. The cubic root of 82272102 is about 434.9281635900.

The spelling of 82272102 in words is "eighty-two million, two hundred seventy-two thousand, one hundred two".