27873120 has 96 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 6755840.

The previous prime is 27873113. The next prime is 27873127. The reversal of 27873120 is 2137872.

It is an interprime number because it is at equal distance from previous prime (27873113) and next prime (27873127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27873127) 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, 2641 + ... + 7919.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^27873120 is an apocalyptic number.

27873120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 5279×5280.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

27873120 is an abundant number, since it is smaller than the sum of its proper divisors (67927200).

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

27873120 is a wasteful number, since it uses less digits than its factorization.

27873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 27873120 is about 5279.4999763235. The cubic root of 27873120 is about 303.1995330945.

The spelling of 27873120 in words is "twenty-seven million, eight hundred seventy-three thousand, one hundred twenty".