73163984 has 80 divisors (see below), whose sum is σ = 158769600. Its totient is φ = 32514048.

The previous prime is 73163983. The next prime is 73164023. The reversal of 73163984 is 48936137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73163983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378992 + ... + 379184.

It is an arithmetic number, because the mean of its divisors is an integer number (1984620).

Almost surely, 2^73163984 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 73163984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79384800).

73163984 is an abundant number, since it is smaller than the sum of its proper divisors (85605616).

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

73163984 is a wasteful number, since it uses less digits than its factorization.

73163984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 73163984 is about 8553.5947998488. The cubic root of 73163984 is about 418.2466284153.

It can be divided in two parts, 73163 and 984, that added together give a palindrome (74147).

The spelling of 73163984 in words is "seventy-three million, one hundred sixty-three thousand, nine hundred eighty-four".