27122172 has 96 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 6961920.

The previous prime is 27122171. The next prime is 27122209.

27122172 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27122172² = 1471224427995168, which contains 22 as substring.

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 (27122171) 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 31 ways as a sum of consecutive naturals, for example, 137578 + ... + 137774.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^27122172 is an apocalyptic number.

27122172 is a gapful number since it is divisible by the number (22) 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 27122172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

27122172 is an abundant number, since it is smaller than the sum of its proper divisors (52711428).

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

27122172 is a wasteful number, since it uses less digits than its factorization.

27122172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 27122172 is about 5207.8951602351. The cubic root of 27122172 is about 300.4518081121.

It can be divided in two parts, 2712 and 2172, that added together give a palindrome (4884).

The spelling of 27122172 in words is "twenty-seven million, one hundred twenty-two thousand, one hundred seventy-two".