73273728 has 192 divisors, whose sum is σ = 227908800. Its totient is φ = 20782080.

The previous prime is 73273667. The next prime is 73273769. The reversal of 73273728 is 82737237.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882775 + ... + 882857.

It is an arithmetic number, because the mean of its divisors is an integer number (1187025).

Almost surely, 2^73273728 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 73273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113954400).

73273728 is an abundant number, since it is smaller than the sum of its proper divisors (154635072).

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

73273728 is a wasteful number, since it uses less digits than its factorization.

73273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 73273728 is about 8560.0074766322. The cubic root of 73273728 is about 418.4556434934.

The spelling of 73273728 in words is "seventy-three million, two hundred seventy-three thousand, seven hundred twenty-eight".