27166272 has 224 divisors, whose sum is σ = 92171520. Its totient is φ = 6881280.

The previous prime is 27166267. The next prime is 27166277. The reversal of 27166272 is 27266172.

It is an interprime number because it is at equal distance from previous prime (27166267) and next prime (27166277).

It is a tau number, because it is divible by the number of its divisors (224).

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 (27166277) 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, 662572 + ... + 662612.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 2^27166272 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 27166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

27166272 is an abundant number, since it is smaller than the sum of its proper divisors (65005248).

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

27166272 is a wasteful number, since it uses less digits than its factorization.

27166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 27166272 is about 5212.1273967546. The cubic root of 27166272 is about 300.6145624060.

The spelling of 27166272 in words is "twenty-seven million, one hundred sixty-six thousand, two hundred seventy-two".