72366784 has 56 divisors (see below), whose sum is σ = 165291008. Its totient is φ = 30792960.

The previous prime is 72366761. The next prime is 72366799. The reversal of 72366784 is 48766327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 72366784.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72529 + ... + 73519.

Almost surely, 2^72366784 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 72366784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82645504).

72366784 is an abundant number, since it is smaller than the sum of its proper divisors (92924224).

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

72366784 is a wasteful number, since it uses less digits than its factorization.

72366784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1163 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 72366784 is about 8506.8668732971. The cubic root of 72366784 is about 416.7219957103.

The spelling of 72366784 in words is "seventy-two million, three hundred sixty-six thousand, seven hundred eighty-four".