27845972 has 36 divisors (see below), whose sum is σ = 61222560. Its totient is φ = 10847760.

The previous prime is 27845971. The next prime is 27845981. The reversal of 27845972 is 27954872.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27845971) 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, 722 + ... + 7497.

Almost surely, 2^27845972 is an apocalyptic number.

27845972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27845972 is an abundant number, since it is smaller than the sum of its proper divisors (33376588).

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

27845972 is a wasteful number, since it uses less digits than its factorization.

27845972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8239 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 27845972 is about 5276.9282731529. The cubic root of 27845972 is about 303.1010638555.

Subtracting 27845972 from its reverse (27954872), we obtain a square (108900 = 330²).

The spelling of 27845972 in words is "twenty-seven million, eight hundred forty-five thousand, nine hundred seventy-two".