73300097520 has 240 divisors, whose sum is σ = 265646122560. Its totient is φ = 18006073344.

The previous prime is 73300097399. The next prime is 73300097527. The reversal of 73300097520 is 2579000337.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73300097527) 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, 4700296 + ... + 4715864.

It is an arithmetic number, because the mean of its divisors is an integer number (1106858844).

Almost surely, 2^73300097520 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 73300097520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132823061280).

73300097520 is an abundant number, since it is smaller than the sum of its proper divisors (192346025040).

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

73300097520 is a wasteful number, since it uses less digits than its factorization.

73300097520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104 (or 16095 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

Adding to 73300097520 its reverse (2579000337), we get a palindrome (75879097857).

The spelling of 73300097520 in words is "seventy-three billion, three hundred million, ninety-seven thousand, five hundred twenty".