73566720 has 240 divisors, whose sum is σ = 265554432. Its totient is φ = 18800640.

The previous prime is 73566709. The next prime is 73566781. The reversal of 73566720 is 2766537.

It is a happy number.

73566720 is a `hidden beast` number, since 73 + 566 + 7 + 20 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714189 + ... + 714291.

Almost surely, 2^73566720 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 73566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132777216).

73566720 is an abundant number, since it is smaller than the sum of its proper divisors (191987712).

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

73566720 is a wasteful number, since it uses less digits than its factorization.

73566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 73566720 is about 8577.1044064999. The cubic root of 73566720 is about 419.0126466944.

The spelling of 73566720 in words is "seventy-three million, five hundred sixty-six thousand, seven hundred twenty".