52992 has 54 divisors (see below), whose sum is σ = 159432. Its totient is φ = 16896.

The previous prime is 52981. The next prime is 52999. The reversal of 52992 is 29925.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

Its product of digits (1620) is a multiple of the sum of its prime factors (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52999) by changing a digit.

52992 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 5 ways as a sum of consecutive naturals, for example, 2293 + ... + 2315.

2⁵²⁹⁹² 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 52992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79716).

52992 is an abundant number, since it is smaller than the sum of its proper divisors (106440).

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

52992 is a wasteful number, since it uses less digits than its factorization.

52992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 28 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 52992 is about 230.1999131190. The cubic root of 52992 is about 37.5609674920.

The spelling of 52992 in words is "fifty-two thousand, nine hundred ninety-two".