27872160 has 48 divisors (see below), whose sum is σ = 87798816. Its totient is φ = 7432448.

The previous prime is 27872153. The next prime is 27872167. The reversal of 27872160 is 6127872.

It is an interprime number because it is at equal distance from previous prime (27872153) and next prime (27872167).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (27872167) 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 7 ways as a sum of consecutive naturals, for example, 28554 + ... + 29513.

It is an arithmetic number, because the mean of its divisors is an integer number (1829142).

Almost surely, 2^27872160 is an apocalyptic number.

27872160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27872160 is an abundant number, since it is smaller than the sum of its proper divisors (59926656).

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

27872160 is a wasteful number, since it uses less digits than its factorization.

27872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58085 (or 58077 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 27872160 is about 5279.4090578397. The cubic root of 27872160 is about 303.1960521435.

The spelling of 27872160 in words is "twenty-seven million, eight hundred seventy-two thousand, one hundred sixty".