55392 has 24 divisors (see below), whose sum is σ = 145656. Its totient is φ = 18432.

The previous prime is 55381. The next prime is 55399. The reversal of 55392 is 29355.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55392.

It is not an unprimeable number, because it can be changed into a prime (55399) by changing a digit.

55392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (6069).

2⁵⁵³⁹² is an apocalyptic number.

It is an amenable number.

55392 is an abundant number, since it is smaller than the sum of its proper divisors (90264).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72828).

55392 is a wasteful number, since it uses less digits than its factorization.

55392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 55392 is about 235.3550509337. The cubic root of 55392 is about 38.1196597375.

The spelling of 55392 in words is "fifty-five thousand, three hundred ninety-two".