27180972 has 72 divisors (see below), whose sum is σ = 84573216. Its totient is φ = 7167744.

The previous prime is 27180961. The next prime is 27180973. The reversal of 27180972 is 27908172.

It is a super-3 number, since 3×27180972³ (a number of 23 digits) contains 333 as substring.

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 (27180973) 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 23 ways as a sum of consecutive naturals, for example, 873 + ... + 7424.

It is an arithmetic number, because the mean of its divisors is an integer number (1174628).

Almost surely, 2^27180972 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 27180972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42286608).

27180972 is an abundant number, since it is smaller than the sum of its proper divisors (57392244).

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

27180972 is a wasteful number, since it uses less digits than its factorization.

27180972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8327 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 27180972 is about 5213.5373787861. The cubic root of 27180972 is about 300.6687746935.

The spelling of 27180972 in words is "twenty-seven million, one hundred eighty thousand, nine hundred seventy-two".