82438272 has 96 divisors (see below), whose sum is σ = 271140480. Its totient is φ = 23551488.

The previous prime is 82438261. The next prime is 82438277. The reversal of 82438272 is 27283428.

It is a tau number, because it is divible by the number of its divisors (96).

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 not an unprimeable number, because it can be changed into a prime (82438277) 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 11 ways as a sum of consecutive naturals, for example, 2953 + ... + 13175.

It is an arithmetic number, because the mean of its divisors is an integer number (2824380).

Almost surely, 2^82438272 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 82438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135570240).

82438272 is an abundant number, since it is smaller than the sum of its proper divisors (188702208).

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

82438272 is a wasteful number, since it uses less digits than its factorization.

82438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10235 counting only the distinct ones).

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

The square root of 82438272 is about 9079.5524118758. The cubic root of 82438272 is about 435.2207836816.

The spelling of 82438272 in words is "eighty-two million, four hundred thirty-eight thousand, two hundred seventy-two".