27363072 has 144 divisors (see below), whose sum is σ = 82414080. Its totient is φ = 7987200.

The previous prime is 27363067. The next prime is 27363121. The reversal of 27363072 is 27036372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346329 + ... + 346407.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^27363072 is an apocalyptic number.

27363072 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 27363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

27363072 is an abundant number, since it is smaller than the sum of its proper divisors (55051008).

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

27363072 is a wasteful number, since it uses less digits than its factorization.

27363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 27363072 is about 5230.9723761458. The cubic root of 27363072 is about 301.3387282472.

The spelling of 27363072 in words is "twenty-seven million, three hundred sixty-three thousand, seventy-two".