66552576 has 72 divisors (see below), whose sum is σ = 178441200. Its totient is φ = 22020096.

The previous prime is 66552571. The next prime is 66552583. The reversal of 66552576 is 67525566.

It is a happy number.

It is a super-3 number, since 3×66552576³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66552571) 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, 148000 + ... + 148448.

It is an arithmetic number, because the mean of its divisors is an integer number (2478350).

Almost surely, 2^66552576 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 66552576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89220600).

66552576 is an abundant number, since it is smaller than the sum of its proper divisors (111888624).

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

66552576 is a wasteful number, since it uses less digits than its factorization.

66552576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 66552576 is about 8157.9762196270. The cubic root of 66552576 is about 405.2486934690.

The spelling of 66552576 in words is "sixty-six million, five hundred fifty-two thousand, five hundred seventy-six".