72127405600 has 144 divisors (see below), whose sum is σ = 180086911200. Its totient is φ = 28200212480.

The previous prime is 72127405573. The next prime is 72127405607. The reversal of 72127405600 is 650472127.

It is a super-2 number, since 2×72127405600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72127405607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8444532 + ... + 8453068.

It is an arithmetic number, because the mean of its divisors is an integer number (1250603550).

Almost surely, 2^72127405600 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 72127405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90043455600).

72127405600 is an abundant number, since it is smaller than the sum of its proper divisors (107959505600).

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

72127405600 is a wasteful number, since it uses less digits than its factorization.

72127405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

Adding to 72127405600 its reverse (650472127), we get a palindrome (72777877727).

The spelling of 72127405600 in words is "seventy-two billion, one hundred twenty-seven million, four hundred five thousand, six hundred".