73164288 has 160 divisors (see below), whose sum is σ = 216057600. Its totient is φ = 21897216.

The previous prime is 73164271. The next prime is 73164317. The reversal of 73164288 is 88246137.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671178 + ... + 671286.

It is an arithmetic number, because the mean of its divisors is an integer number (1350360).

Almost surely, 2^73164288 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 73164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

73164288 is an abundant number, since it is smaller than the sum of its proper divisors (142893312).

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

73164288 is a wasteful number, since it uses less digits than its factorization.

73164288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 73164288 is about 8553.6125701367. The cubic root of 73164288 is about 418.2472076931.

The spelling of 73164288 in words is "seventy-three million, one hundred sixty-four thousand, two hundred eighty-eight".