66622752 has 108 divisors (see below), whose sum is σ = 220437126. Its totient is φ = 19031040.

The previous prime is 66622733. The next prime is 66622757. The reversal of 66622752 is 25722666.

It can be written as a sum of positive squares in only one way, i.e., 55890576 + 10732176 = 7476^2 + 3276^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66622757) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11752 + ... + 16472.

Almost surely, 2^66622752 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 66622752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110218563).

66622752 is an abundant number, since it is smaller than the sum of its proper divisors (153814374).

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

66622752 is a wasteful number, since it uses less digits than its factorization.

66622752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4733 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 66622752 is about 8162.2761531328. The cubic root of 66622752 is about 405.3910808575.

The spelling of 66622752 in words is "sixty-six million, six hundred twenty-two thousand, seven hundred fifty-two".