73003368 has 64 divisors (see below), whose sum is σ = 188784000. Its totient is φ = 23507712.

The previous prime is 73003363. The next prime is 73003373. The reversal of 73003368 is 86330037.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73003363) and next prime (73003373).

It is not an unprimeable number, because it can be changed into a prime (73003363) 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 15 ways as a sum of consecutive naturals, for example, 203173 + ... + 203531.

It is an arithmetic number, because the mean of its divisors is an integer number (2949750).

Almost surely, 2^73003368 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 73003368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94392000).

73003368 is an abundant number, since it is smaller than the sum of its proper divisors (115780632).

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

73003368 is a wasteful number, since it uses less digits than its factorization.

73003368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 73003368 is about 8544.2008403361. The cubic root of 73003368 is about 417.9403469431.

The spelling of 73003368 in words is "seventy-three million, three thousand, three hundred sixty-eight".