73297728 has 210 divisors, whose sum is σ = 249720354. Its totient is φ = 20547072.

The previous prime is 73297723. The next prime is 73297739. The reversal of 73297728 is 82779237.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 5531904 = 8232^2 + 2352^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73297723) 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 29 ways as a sum of consecutive naturals, for example, 1382950 + ... + 1383002.

Almost surely, 2^73297728 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 73297728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124860177).

73297728 is an abundant number, since it is smaller than the sum of its proper divisors (176422626).

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

73297728 is an equidigital number, since it uses as much as digits as its factorization.

73297728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 73297728 is about 8561.4092297939. The cubic root of 73297728 is about 418.5013253471.

The spelling of 73297728 in words is "seventy-three million, two hundred ninety-seven thousand, seven hundred twenty-eight".