61752 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 19680.

The previous prime is 61751. The next prime is 61757. The reversal of 61752 is 25716.

61752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61751) 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, 703 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁶¹⁷⁵² is an apocalyptic number.

61752 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a pronic number, being equal to 248×249.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

61752 is an abundant number, since it is smaller than the sum of its proper divisors (99528).

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

61752 is a wasteful number, since it uses less digits than its factorization.

61752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 61752 is about 248.4994969814. The cubic root of 61752 is about 39.5260736894.

The spelling of 61752 in words is "sixty-one thousand, seven hundred fifty-two".