66552 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 21344.

The previous prime is 66541. The next prime is 66553. The reversal of 66552 is 25566.

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

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66553) 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, 1099 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁶⁶⁵⁵² 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 66552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

66552 is an abundant number, since it is smaller than the sum of its proper divisors (106248).

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

66552 is a wasteful number, since it uses less digits than its factorization.

66552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 66552 is about 257.9767431378. The cubic root of 66552 is about 40.5247524349.

It can be divided in two parts, 665 and 52, that added together give a palindrome (717).

The spelling of 66552 in words is "sixty-six thousand, five hundred fifty-two".