73099728 has 120 divisors (see below), whose sum is σ = 233375688. Its totient is φ = 21159936.

The previous prime is 73099723. The next prime is 73099751. The reversal of 73099728 is 82799037.

It can be written as a sum of positive squares in 4 ways, for example, as 7683984 + 65415744 = 2772^2 + 8088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73099723) 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 23 ways as a sum of consecutive naturals, for example, 30676 + ... + 32972.

Almost surely, 2^73099728 is an apocalyptic number.

73099728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73099728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116687844).

73099728 is an abundant number, since it is smaller than the sum of its proper divisors (160275960).

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

73099728 is a wasteful number, since it uses less digits than its factorization.

73099728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 73099728 is about 8549.8378932001. The cubic root of 73099728 is about 418.1241513654.

It can be divided in two parts, 730997 and 28, that added together give a square (731025 = 855²).

The spelling of 73099728 in words is "seventy-three million, ninety-nine thousand, seven hundred twenty-eight".