59952 has 20 divisors (see below), whose sum is σ = 155000. Its totient is φ = 19968.

The previous prime is 59951. The next prime is 59957. The reversal of 59952 is 25995.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59951) 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 3 ways as a sum of consecutive naturals, for example, 577 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (7750).

2⁵⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

59952 is an abundant number, since it is smaller than the sum of its proper divisors (95048).

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 (77500).

59952 is a wasteful number, since it uses less digits than its factorization.

59952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1254 counting only the distinct ones).

The product of its digits is 4050, while the sum is 30.

The square root of 59952 is about 244.8509750848. The cubic root of 59952 is about 39.1382339795.

The spelling of 59952 in words is "fifty-nine thousand, nine hundred fifty-two".