62532 has 30 divisors (see below), whose sum is σ = 164318. Its totient is φ = 20736.

The previous prime is 62507. The next prime is 62533. The reversal of 62532 is 23526.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 15876 = 216^2 + 126^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 6⁶ + 2² + 5⁶ + 3⁵ + 2² .

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62532.

It is not an unprimeable number, because it can be changed into a prime (62533) by changing a digit.

62532 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 9 ways as a sum of consecutive naturals, for example, 228 + ... + 420.

2⁶²⁵³² 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 62532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82159).

62532 is an abundant number, since it is smaller than the sum of its proper divisors (101786).

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

62532 is a wasteful number, since it uses less digits than its factorization.

62532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 62532 is about 250.0639918101. The cubic root of 62532 is about 39.6917980548.

The spelling of 62532 in words is "sixty-two thousand, five hundred thirty-two".