27772032 has 64 divisors (see below), whose sum is σ = 76181760. Its totient is φ = 8954880.

The previous prime is 27772027. The next prime is 27772079. The reversal of 27772032 is 23027772.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×27772032² = 1542571522818048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10738 + ... + 13070.

It is an arithmetic number, because the mean of its divisors is an integer number (1190340).

Almost surely, 2^27772032 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 27772032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38090880).

27772032 is an abundant number, since it is smaller than the sum of its proper divisors (48409728).

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

27772032 is a wasteful number, since it uses less digits than its factorization.

27772032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 30.

The square root of 27772032 is about 5269.9176464154. The cubic root of 27772032 is about 302.8325491565.

The spelling of 27772032 in words is "twenty-seven million, seven hundred seventy-two thousand, thirty-two".