73330816 has 64 divisors (see below), whose sum is σ = 159022080. Its totient is φ = 33481728.

The previous prime is 73330813. The next prime is 73330819. The reversal of 73330816 is 61803337.

It is an interprime number because it is at equal distance from previous prime (73330813) and next prime (73330819).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (73330811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211155 + ... + 211501.

It is an arithmetic number, because the mean of its divisors is an integer number (2484720).

Almost surely, 2^73330816 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 73330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79511040).

73330816 is an abundant number, since it is smaller than the sum of its proper divisors (85691264).

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

73330816 is a wasteful number, since it uses less digits than its factorization.

73330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 73330816 is about 8563.3414039147. The cubic root of 73330816 is about 418.5642890482.

The spelling of 73330816 in words is "seventy-three million, three hundred thirty thousand, eight hundred sixteen".