27755772 has 48 divisors (see below), whose sum is σ = 72573312. Its totient is φ = 8182080.

The previous prime is 27755771. The next prime is 27755821.

27755772 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27755771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043 + ... + 7725.

It is an arithmetic number, because the mean of its divisors is an integer number (1511944).

Almost surely, 2^27755772 is an apocalyptic number.

27755772 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 27755772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36286656).

27755772 is an abundant number, since it is smaller than the sum of its proper divisors (44817540).

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

27755772 is a wasteful number, since it uses less digits than its factorization.

27755772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5736 counting only the distinct ones).

The product of its digits is 240100, while the sum is 42.

The square root of 27755772 is about 5268.3747019361. The cubic root of 27755772 is about 302.7734367067.

The spelling of 27755772 in words is "twenty-seven million, seven hundred fifty-five thousand, seven hundred seventy-two".