55792 has 20 divisors (see below), whose sum is σ = 118296. Its totient is φ = 25280.

The previous prime is 55787. The next prime is 55793. The reversal of 55792 is 29755.

55792 = 24² + 25² + ... + 56².

It is a super-2 number, since 2×55792² = 6225494528, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 55792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55793) by changing a digit.

55792 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, 18 + ... + 334.

2⁵⁵⁷⁹² 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 55792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59148).

55792 is an abundant number, since it is smaller than the sum of its proper divisors (62504).

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

55792 is a wasteful number, since it uses less digits than its factorization.

55792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its digits is 3150, while the sum is 28.

The square root of 55792 is about 236.2033022631. The cubic root of 55792 is about 38.2111970685.

The spelling of 55792 in words is "fifty-five thousand, seven hundred ninety-two".