27981072 has 160 divisors (see below), whose sum is σ = 96819200. Its totient is φ = 7558272.

The previous prime is 27981071. The next prime is 27981073. The reversal of 27981072 is 27018972.

It is an interprime number because it is at equal distance from previous prime (27981071) and next prime (27981073).

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 (27981071) 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, 57213 + ... + 57699.

It is an arithmetic number, because the mean of its divisors is an integer number (605120).

Almost surely, 2^27981072 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 27981072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48409600).

27981072 is an abundant number, since it is smaller than the sum of its proper divisors (68838128).

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

27981072 is a wasteful number, since it uses less digits than its factorization.

27981072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

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

The square root of 27981072 is about 5289.7137918795. The cubic root of 27981072 is about 303.5904572920.

The spelling of 27981072 in words is "twenty-seven million, nine hundred eighty-one thousand, seventy-two".