62752 has 24 divisors (see below), whose sum is σ = 129276. Its totient is φ = 29952.

The previous prime is 62743. The next prime is 62753. The reversal of 62752 is 25726.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 7056 = 236^2 + 84^2 .

It is a d-powerful number, because it can be written as 6⁶ + 2⁶ + 7³ + 5⁶ + 2⁶ .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (62753) by changing a digit.

62752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1158 + ... + 1210.

2⁶²⁷⁵² 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 62752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638).

62752 is an abundant number, since it is smaller than the sum of its proper divisors (66524).

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

62752 is a wasteful number, since it uses less digits than its factorization.

62752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 62752 is about 250.5034929896. The cubic root of 62752 is about 39.7382914502.

The spelling of 62752 in words is "sixty-two thousand, seven hundred fifty-two".