82138672 has 160 divisors (see below), whose sum is σ = 217843200. Its totient is φ = 29272320.

The previous prime is 82138669. The next prime is 82138673. The reversal of 82138672 is 27683128.

It is a super-2 number, since 2×82138672² = 13493522875847168, which contains 22 as substring.

Its product of digits (32256) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (82138673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2832354 + ... + 2832382.

It is an arithmetic number, because the mean of its divisors is an integer number (1361520).

Almost surely, 2^82138672 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 82138672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108921600).

82138672 is an abundant number, since it is smaller than the sum of its proper divisors (135704528).

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

82138672 is a wasteful number, since it uses less digits than its factorization.

82138672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 68 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 82138672 is about 9063.0387839841. The cubic root of 82138672 is about 434.6929122538.

It can be divided in two parts, 821 and 38672, that added together give a palindrome (39493).

The spelling of 82138672 in words is "eighty-two million, one hundred thirty-eight thousand, six hundred seventy-two".