73103603328 has 576 divisors, whose sum is σ = 263820715200. Its totient is φ = 19832795136.

The previous prime is 73103603323. The next prime is 73103603369. The reversal of 73103603328 is 82330630137.

It is a happy number.

73103603328 is a `hidden beast` number, since 7 + 3 + 10 + 3 + 603 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 73103603292 and 73103603301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73103603323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 533602876 + ... + 533603012.

It is an arithmetic number, because the mean of its divisors is an integer number (458022075).

Almost surely, 2^73103603328 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 73103603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131910357600).

73103603328 is an abundant number, since it is smaller than the sum of its proper divisors (190717111872).

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

73103603328 is a wasteful number, since it uses less digits than its factorization.

73103603328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 73103603328 in words is "seventy-three billion, one hundred three million, six hundred three thousand, three hundred twenty-eight".