55512 has 32 divisors (see below), whose sum is σ = 154800. Its totient is φ = 18432.

The previous prime is 55511. The next prime is 55529. The reversal of 55512 is 21555.

55512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

55512 is an undulating number in base 16.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 344.

2⁵⁵⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77400).

55512 is an abundant number, since it is smaller than the sum of its proper divisors (99288).

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

55512 is a wasteful number, since it uses less digits than its factorization.

55512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 250, while the sum is 18.

The square root of 55512 is about 235.6098469929. The cubic root of 55512 is about 38.1471670784.

The spelling of 55512 in words is "fifty-five thousand, five hundred twelve".