82372248 has 128 divisors (see below), whose sum is σ = 263923200. Its totient is φ = 23317632.

The previous prime is 82372237. The next prime is 82372253. The reversal of 82372248 is 84227328.

It is a super-3 number, since 3×82372248³ (a number of 25 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 237211 + ... + 237557.

It is an arithmetic number, because the mean of its divisors is an integer number (2061900).

Almost surely, 2^82372248 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 82372248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131961600).

82372248 is an abundant number, since it is smaller than the sum of its proper divisors (181550952).

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

82372248 is a wasteful number, since it uses less digits than its factorization.

82372248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 82372248 is about 9075.9158215576. The cubic root of 82372248 is about 435.1045646370.

The spelling of 82372248 in words is "eighty-two million, three hundred seventy-two thousand, two hundred forty-eight".