55552 has 36 divisors (see below), whose sum is σ = 130816. Its totient is φ = 23040.

The previous prime is 55547. The next prime is 55579. The reversal of 55552 is 25555.

It is a magnanimous number.

It is a nialpdrome in base 10 and base 16.

It is an unprimeable number.

55552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1777 + ... + 1807.

2⁵⁵⁵⁵² 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 55552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65408).

55552 is an abundant number, since it is smaller than the sum of its proper divisors (75264).

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

55552 is an equidigital number, since it uses as much as digits as its factorization.

55552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 40 counting only the distinct ones).

The product of its digits is 1250, while the sum is 22.

The square root of 55552 is about 235.6947178025. The cubic root of 55552 is about 38.1563273821.

The spelling of 55552 in words is "fifty-five thousand, five hundred fifty-two".