72134430720 has 624 divisors, whose sum is σ = 262711712256. Its totient is φ = 16868966400.

The previous prime is 72134430691. The next prime is 72134430763. The reversal of 72134430720 is 2703443127.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230461284 + ... + 230461596.

Almost surely, 2^72134430720 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 72134430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131355856128).

72134430720 is an abundant number, since it is smaller than the sum of its proper divisors (190577281536).

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

72134430720 is a wasteful number, since it uses less digits than its factorization.

72134430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

Adding to 72134430720 its reverse (2703443127), we get a palindrome (74837873847).

The spelling of 72134430720 in words is "seventy-two billion, one hundred thirty-four million, four hundred thirty thousand, seven hundred twenty".