82507238172 has 192 divisors, whose sum is σ = 230183546880. Its totient is φ = 25506835200.

The previous prime is 82507238171. The next prime is 82507238173. The reversal of 82507238172 is 27183270528.

It is an interprime number because it is at equal distance from previous prime (82507238171) and next prime (82507238173).

It is a super-2 number, since 2×82507238172² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82507238171) 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 63 ways as a sum of consecutive naturals, for example, 8294722 + ... + 8304662.

It is an arithmetic number, because the mean of its divisors is an integer number (1198872640).

Almost surely, 2^82507238172 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 82507238172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115091773440).

82507238172 is an abundant number, since it is smaller than the sum of its proper divisors (147676308708).

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

82507238172 is a wasteful number, since it uses less digits than its factorization.

82507238172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 82507238172 in words is "eighty-two billion, five hundred seven million, two hundred thirty-eight thousand, one hundred seventy-two".