66875200 has 126 divisors (see below), whose sum is σ = 191645286. Its totient is φ = 22901760.

The previous prime is 66875183. The next prime is 66875203. The reversal of 66875200 is 257866.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 66846976 = 168^2 + 8176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66875203) 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, 77974 + ... + 78826.

Almost surely, 2^66875200 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 66875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95822643).

66875200 is an abundant number, since it is smaller than the sum of its proper divisors (124770086).

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

66875200 is a wasteful number, since it uses less digits than its factorization.

66875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 66875200 is about 8177.7258452457. The cubic root of 66875200 is about 405.9024736021.

The spelling of 66875200 in words is "sixty-six million, eight hundred seventy-five thousand, two hundred".