27390672 has 120 divisors (see below), whose sum is σ = 82869696. Its totient is φ = 8414208.

The previous prime is 27390667. The next prime is 27390731. The reversal of 27390672 is 27609372.

It is a super-3 number, since 3×27390672³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163933 + ... + 164099.

Almost surely, 2^27390672 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 27390672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41434848).

27390672 is an abundant number, since it is smaller than the sum of its proper divisors (55479024).

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

27390672 is a wasteful number, since it uses less digits than its factorization.

27390672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 27390672 is about 5233.6098440751. The cubic root of 27390672 is about 301.4400101762.

The spelling of 27390672 in words is "twenty-seven million, three hundred ninety thousand, six hundred seventy-two".