66787200 has 192 divisors, whose sum is σ = 244738800. Its totient is φ = 17786880.

The previous prime is 66787199. The next prime is 66787207. The reversal of 66787200 is 278766.

It is a tau number, because it is divible by the number of its divisors (192).

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 (66787207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86014 + ... + 86786.

Almost surely, 2^66787200 is an apocalyptic number.

66787200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122369400).

66787200 is an abundant number, since it is smaller than the sum of its proper divisors (177951600).

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

66787200 is a wasteful number, since it uses less digits than its factorization.

66787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 66787200 is about 8172.3436051111. The cubic root of 66787200 is about 405.7243552729.

The spelling of 66787200 in words is "sixty-six million, seven hundred eighty-seven thousand, two hundred".