66572000 has 192 divisors, whose sum is σ = 191056320. Its totient is φ = 22528000.

The previous prime is 66571997. The next prime is 66572027. The reversal of 66572000 is 27566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747956 + ... + 748044.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^66572000 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 66572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

66572000 is an abundant number, since it is smaller than the sum of its proper divisors (124484320).

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

66572000 is a wasteful number, since it uses less digits than its factorization.

66572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 66572000 is about 8159.1666241106. The cubic root of 66572000 is about 405.2881148579.

Adding to 66572000 its reverse (27566), we get a palindrome (66599566).

The spelling of 66572000 in words is "sixty-six million, five hundred seventy-two thousand".