27891072 has 192 divisors, whose sum is σ = 91653120. Its totient is φ = 8064000.

The previous prime is 27891023. The next prime is 27891077. The reversal of 27891072 is 27019872.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27891077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392797 + ... + 392867.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 2^27891072 is an apocalyptic number.

27891072 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 27891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45826560).

27891072 is an abundant number, since it is smaller than the sum of its proper divisors (63762048).

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

27891072 is a wasteful number, since it uses less digits than its factorization.

27891072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

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

The square root of 27891072 is about 5281.1998636673. The cubic root of 27891072 is about 303.2646121610.

The spelling of 27891072 in words is "twenty-seven million, eight hundred ninety-one thousand, seventy-two".