73273288 has 32 divisors (see below), whose sum is σ = 151272000. Its totient is φ = 32996160.

The previous prime is 73273271. The next prime is 73273289. The reversal of 73273288 is 88237237.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 73273288.

It is not an unprimeable number, because it can be changed into a prime (73273289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5773 + ... + 13411.

It is an arithmetic number, because the mean of its divisors is an integer number (4727250).

Almost surely, 2^73273288 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 73273288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75636000).

73273288 is an abundant number, since it is smaller than the sum of its proper divisors (77998712).

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

73273288 is a wasteful number, since it uses less digits than its factorization.

73273288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7761 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 73273288 is about 8559.9817756815. The cubic root of 73273288 is about 418.4548058996.

The spelling of 73273288 in words is "seventy-three million, two hundred seventy-three thousand, two hundred eighty-eight".