27672820 has 48 divisors (see below), whose sum is σ = 66890880. Its totient is φ = 9419904.

The previous prime is 27672817. The next prime is 27672823. The reversal of 27672820 is 2827672.

It is an interprime number because it is at equal distance from previous prime (27672817) and next prime (27672823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27672823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21351 + ... + 22609.

It is an arithmetic number, because the mean of its divisors is an integer number (1393560).

Almost surely, 2^27672820 is an apocalyptic number.

27672820 is a gapful number since it is divisible by the number (20) 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 27672820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445440).

27672820 is an abundant number, since it is smaller than the sum of its proper divisors (39218060).

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

27672820 is a wasteful number, since it uses less digits than its factorization.

27672820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 27672820 is about 5260.4961743166. The cubic root of 27672820 is about 302.4715088254.

The spelling of 27672820 in words is "twenty-seven million, six hundred seventy-two thousand, eight hundred twenty".