27633672 has 192 divisors, whose sum is σ = 89631360. Its totient is φ = 7603200.

The previous prime is 27633643. The next prime is 27633677.

27633672 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (27633677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673972 + ... + 674012.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 2^27633672 is an apocalyptic number.

27633672 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 27633672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

27633672 is an abundant number, since it is smaller than the sum of its proper divisors (61997688).

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

27633672 is a wasteful number, since it uses less digits than its factorization.

27633672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 27633672 is about 5256.7739156254. The cubic root of 27633672 is about 302.3288087222.

The spelling of 27633672 in words is "twenty-seven million, six hundred thirty-three thousand, six hundred seventy-two".