66527552 has 56 divisors (see below), whose sum is σ = 162494976. Its totient is φ = 26316288.

The previous prime is 66527551. The next prime is 66527557. The reversal of 66527552 is 25572566.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×66527552³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66527551) 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, 113 + ... + 11535.

It is an arithmetic number, because the mean of its divisors is an integer number (2901696).

Almost surely, 2^66527552 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 66527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81247488).

66527552 is an abundant number, since it is smaller than the sum of its proper divisors (95967424).

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

66527552 is a wasteful number, since it uses less digits than its factorization.

66527552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455 (or 11445 counting only the distinct ones).

The product of its digits is 126000, while the sum is 38.

The square root of 66527552 is about 8156.4423617163. The cubic root of 66527552 is about 405.1978954624.

The spelling of 66527552 in words is "sixty-six million, five hundred twenty-seven thousand, five hundred fifty-two".