73309068 has 144 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 19440000.

The previous prime is 73309051. The next prime is 73309069. The reversal of 73309068 is 86090337.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73309069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291943 + ... + 292193.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760).

Almost surely, 2^73309068 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 73309068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

73309068 is an abundant number, since it is smaller than the sum of its proper divisors (154176372).

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

73309068 is a wasteful number, since it uses less digits than its factorization.

73309068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73309068 is about 8562.0714783281. The cubic root of 73309068 is about 418.5229065540.

The spelling of 73309068 in words is "seventy-three million, three hundred nine thousand, sixty-eight".