27877872 has 80 divisors (see below), whose sum is σ = 80744832. Its totient is φ = 8213760.

The previous prime is 27877867. The next prime is 27877879.

27877872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27877879) 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, 18823 + ... + 20249.

Almost surely, 2^27877872 is an apocalyptic number.

27877872 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 27877872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40372416).

27877872 is an abundant number, since it is smaller than the sum of its proper divisors (52866960).

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

27877872 is a wasteful number, since it uses less digits than its factorization.

27877872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its digits is 614656, while the sum is 48.

The square root of 27877872 is about 5279.9499997633. The cubic root of 27877872 is about 303.2167626250.

The spelling of 27877872 in words is "twenty-seven million, eight hundred seventy-seven thousand, eight hundred seventy-two".