72435300300160 has 256 divisors, whose sum is σ = 203211922867200. Its totient is φ = 24176990085120.

The previous prime is 72435300300149. The next prime is 72435300300239. The reversal of 72435300300160 is 6100300353427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25894650 + ... + 28555270.

It is an arithmetic number, because the mean of its divisors is an integer number (793796573700).

Almost surely, 2^{72435300300160} is an apocalyptic number.

72435300300160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72435300300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101605961433600).

72435300300160 is an abundant number, since it is smaller than the sum of its proper divisors (130776622567040).

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

72435300300160 is a wasteful number, since it uses less digits than its factorization.

72435300300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660809 (or 2660797 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

Adding to 72435300300160 its reverse (6100300353427), we get a palindrome (78535600653587).

The spelling of 72435300300160 in words is "seventy-two trillion, four hundred thirty-five billion, three hundred million, three hundred thousand, one hundred sixty".