73133312 has 72 divisors (see below), whose sum is σ = 171499776. Its totient is φ = 30468096.

The previous prime is 73133293. The next prime is 73133339. The reversal of 73133312 is 21333137.

It is a happy number.

It is a congruent number.

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, 65753 + ... + 66855.

Almost surely, 2^73133312 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 73133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85749888).

73133312 is an abundant number, since it is smaller than the sum of its proper divisors (98366464).

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

73133312 is a wasteful number, since it uses less digits than its factorization.

73133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1149 counting only the distinct ones).

The product of its digits is 1134, while the sum is 23.

The square root of 73133312 is about 8551.8016815172. The cubic root of 73133312 is about 418.1881740914.

Adding to 73133312 its reverse (21333137), we get a palindrome (94466449).

It can be divided in two parts, 731 and 33312, that added together give a palindrome (34043).

The spelling of 73133312 in words is "seventy-three million, one hundred thirty-three thousand, three hundred twelve".