27672192 has 160 divisors (see below), whose sum is σ = 87751620. Its totient is φ = 8626176.

The previous prime is 27672191. The next prime is 27672193. The reversal of 27672192 is 29127672.

It is an interprime number because it is at equal distance from previous prime (27672191) and next prime (27672193).

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 46656 = 5256^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27672191) 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 19 ways as a sum of consecutive naturals, for example, 176178 + ... + 176334.

Almost surely, 2^27672192 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 27672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43875810).

27672192 is an abundant number, since it is smaller than the sum of its proper divisors (60079428).

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

27672192 is a wasteful number, since it uses less digits than its factorization.

27672192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 27672192 is about 5260.4364837911. The cubic root of 27672192 is about 302.4692207374.

The spelling of 27672192 in words is "twenty-seven million, six hundred seventy-two thousand, one hundred ninety-two".