73666800 has 240 divisors, whose sum is σ = 276768000. Its totient is φ = 18558720.

The previous prime is 73666793. The next prime is 73666807. The reversal of 73666800 is 866637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73666793) and next prime (73666807).

It is a tau number, because it is divible by the number of its divisors (240).

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 (73666807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205021 + ... + 205379.

It is an arithmetic number, because the mean of its divisors is an integer number (1153200).

Almost surely, 2^73666800 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 73666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

73666800 is an abundant number, since it is smaller than the sum of its proper divisors (203101200).

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

73666800 is a wasteful number, since it uses less digits than its factorization.

73666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 73666800 is about 8582.9365604087. The cubic root of 73666800 is about 419.2025685506.

The spelling of 73666800 in words is "seventy-three million, six hundred sixty-six thousand, eight hundred".