73000114560 has 192 divisors, whose sum is σ = 252457086960. Its totient is φ = 19437465600.

The previous prime is 73000114531. The next prime is 73000114589. The reversal of 73000114560 is 6541100037.

It is an interprime number because it is at equal distance from previous prime (73000114531) and next prime (73000114589).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3970990 + ... + 3989330.

Almost surely, 2^73000114560 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 73000114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126228543480).

73000114560 is an abundant number, since it is smaller than the sum of its proper divisors (179456972400).

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

73000114560 is a wasteful number, since it uses less digits than its factorization.

73000114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19057 (or 19042 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 73000114560 its reverse (6541100037), we get a palindrome (79541214597).

The spelling of 73000114560 in words is "seventy-three billion, one hundred fourteen thousand, five hundred sixty".