55352 has 32 divisors (see below), whose sum is σ = 123120. Its totient is φ = 23040.

The previous prime is 55351. The next prime is 55373. The reversal of 55352 is 25355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1478 + ... + 1514.

2⁵⁵³⁵² 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 55352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61560).

55352 is an abundant number, since it is smaller than the sum of its proper divisors (67768).

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

55352 is a wasteful number, since it uses less digits than its factorization.

55352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its digits is 750, while the sum is 20.

The square root of 55352 is about 235.2700575934. The cubic root of 55352 is about 38.1104817963.

The spelling of 55352 in words is "fifty-five thousand, three hundred fifty-two".