666072000 has 504 divisors, whose sum is σ = 2691975312. Its totient is φ = 155904000.

The previous prime is 666071981. The next prime is 666072007. The reversal of 666072000 is 270666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666072007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22967986 + ... + 22968014.

Almost surely, 2^666072000 is an apocalyptic number.

666072000 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 666072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345987656).

666072000 is an abundant number, since it is smaller than the sum of its proper divisors (2025903312).

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

666072000 is a wasteful number, since it uses less digits than its factorization.

666072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 666072000 is about 25808.3707350929. The cubic root of 666072000 is about 873.3206428758.

The spelling of 666072000 in words is "six hundred sixty-six million, seventy-two thousand".