27630072 has 96 divisors (see below), whose sum is σ = 79213680. Its totient is φ = 9020160.

The previous prime is 27630067. The next prime is 27630077. The reversal of 27630072 is 27003672.

27630072 is a `hidden beast` number, since 27 + 630 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (27630067) and next prime (27630077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27630077) 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, 118468 + ... + 118700.

Almost surely, 2^27630072 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 27630072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39606840).

27630072 is an abundant number, since it is smaller than the sum of its proper divisors (51583608).

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

27630072 is a wasteful number, since it uses less digits than its factorization.

27630072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 27630072 is about 5256.4314891379. The cubic root of 27630072 is about 302.3156794383.

The spelling of 27630072 in words is "twenty-seven million, six hundred thirty thousand, seventy-two".