72410112000 has 784 divisors, whose sum is σ = 273756391272. Its totient is φ = 19110297600.

The previous prime is 72410111993. The next prime is 72410112023. The reversal of 72410112000 is 21101427.

It can be written as a sum of positive squares in 4 ways, for example, as 19591041024 + 52819070976 = 139968^2 + 229824^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 746495952 + ... + 746496048.

Almost surely, 2^72410112000 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 72410112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136878195636).

72410112000 is an abundant number, since it is smaller than the sum of its proper divisors (201346279272).

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

72410112000 is an frugal number, since it uses more digits than its factorization.

72410112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 72410112000 its reverse (21101427), we get a palindrome (72431213427).

The spelling of 72410112000 in words is "seventy-two billion, four hundred ten million, one hundred twelve thousand".