64752 has 40 divisors (see below), whose sum is σ = 178560. Its totient is φ = 20160.

The previous prime is 64747. The next prime is 64763. The reversal of 64752 is 25746.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁶⁴⁷⁵² 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 64752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

64752 is an abundant number, since it is smaller than the sum of its proper divisors (113808).

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

64752 is a wasteful number, since it uses less digits than its factorization.

64752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 64752 is about 254.4641428571. The cubic root of 64752 is about 40.1560570300.

The spelling of 64752 in words is "sixty-four thousand, seven hundred fifty-two".