53952 has 28 divisors (see below), whose sum is σ = 143256. Its totient is φ = 17920.

The previous prime is 53951. The next prime is 53959. The reversal of 53952 is 25935.

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

It is not an unprimeable number, because it can be changed into a prime (53951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52 + ... + 332.

2⁵³⁹⁵² 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 53952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628).

53952 is an abundant number, since it is smaller than the sum of its proper divisors (89304).

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

53952 is a wasteful number, since it uses less digits than its factorization.

53952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

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

The square root of 53952 is about 232.2756982553. The cubic root of 53952 is about 37.7864288787.

The spelling of 53952 in words is "fifty-three thousand, nine hundred fifty-two".