59752 has 32 divisors (see below), whose sum is σ = 141120. Its totient is φ = 23040.

The previous prime is 59747. The next prime is 59753. The reversal of 59752 is 25795.

59752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 5² + 9⁵ + 7² + 5⁴ + 2² .

It is a self number, because there is not a number n which added to its sum of digits gives 59752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 664.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁵⁹⁷⁵² 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 59752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

59752 is an abundant number, since it is smaller than the sum of its proper divisors (81368).

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

59752 is a wasteful number, since it uses less digits than its factorization.

59752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

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

The square root of 59752 is about 244.4422222121. The cubic root of 59752 is about 39.0946637494.

The spelling of 59752 in words is "fifty-nine thousand, seven hundred fifty-two".