27315072 has 96 divisors (see below), whose sum is σ = 79639560. Its totient is φ = 8985600.

The previous prime is 27315031. The next prime is 27315077. The reversal of 27315072 is 27051372.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27315072² = 1492226316730368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27315077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150822 + ... + 151002.

Almost surely, 2^27315072 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 27315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39819780).

27315072 is an abundant number, since it is smaller than the sum of its proper divisors (52324488).

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

27315072 is a wasteful number, since it uses less digits than its factorization.

27315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 27315072 is about 5226.3823051897. The cubic root of 27315072 is about 301.1624234219.

The spelling of 27315072 in words is "twenty-seven million, three hundred fifteen thousand, seventy-two".