27966972 has 96 divisors (see below), whose sum is σ = 76737024. Its totient is φ = 7898880.

The previous prime is 27966947. The next prime is 27966973.

27966972 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27966973) 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, 271473 + ... + 271575.

It is an arithmetic number, because the mean of its divisors is an integer number (799344).

Almost surely, 2^27966972 is an apocalyptic number.

27966972 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 27966972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38368512).

27966972 is an abundant number, since it is smaller than the sum of its proper divisors (48770052).

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

27966972 is a wasteful number, since it uses less digits than its factorization.

27966972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 27966972 is about 5288.3808486152. The cubic root of 27966972 is about 303.5394544251.

The spelling of 27966972 in words is "twenty-seven million, nine hundred sixty-six thousand, nine hundred seventy-two".