182122272 has 72 divisors (see below), whose sum is σ = 534643200. Its totient is φ = 58746240.

The previous prime is 182122261. The next prime is 182122301. The reversal of 182122272 is 272221281.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272 + ... + 19127.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^182122272 is an apocalyptic number.

182122272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

182122272 is an abundant number, since it is smaller than the sum of its proper divisors (352520928).

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

182122272 is a wasteful number, since it uses less digits than its factorization.

182122272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20446 (or 20435 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 182122272 is about 13495.2685041832. The cubic root of 182122272 is about 566.8319911315.

Subtracting 182122272 from its reverse (272221281), we obtain a palindrome (90099009).

The spelling of 182122272 in words is "one hundred eighty-two million, one hundred twenty-two thousand, two hundred seventy-two".