72518104230 has 128 divisors (see below), whose sum is σ = 205023329280. Its totient is φ = 16183964160.

The previous prime is 72518104193. The next prime is 72518104237. The reversal of 72518104230 is 3240181527.

It is a super-2 number, since 2×72518104230² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 72518104191 and 72518104200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72518104237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1577511 + ... + 1622829.

It is an arithmetic number, because the mean of its divisors is an integer number (1601744760).

Almost surely, 2^72518104230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72518104230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102511664640).

72518104230 is an abundant number, since it is smaller than the sum of its proper divisors (132505225050).

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

72518104230 is a wasteful number, since it uses less digits than its factorization.

72518104230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45726.

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 72518104230 its reverse (3240181527), we get a palindrome (75758285757).

The spelling of 72518104230 in words is "seventy-two billion, five hundred eighteen million, one hundred four thousand, two hundred thirty".