73242728 has 64 divisors (see below), whose sum is σ = 153997200. Its totient is φ = 32440320.

The previous prime is 73242713. The next prime is 73242731. The reversal of 73242728 is 82724237.

It can be written as a sum of positive squares in 8 ways, for example, as 3364 + 73239364 = 58^2 + 8558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379400 + ... + 379592.

Almost surely, 2^73242728 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 73242728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76998600).

73242728 is an abundant number, since it is smaller than the sum of its proper divisors (80754472).

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

73242728 is a wasteful number, since it uses less digits than its factorization.

73242728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The square root of 73242728 is about 8558.1965389911. The cubic root of 73242728 is about 418.3966229999.

The spelling of 73242728 in words is "seventy-three million, two hundred forty-two thousand, seven hundred twenty-eight".