72112305200 has 120 divisors (see below), whose sum is σ = 186681030816. Its totient is φ = 26611200000.

The previous prime is 72112305197. The next prime is 72112305211. The reversal of 72112305200 is 250321127.

It is a happy number.

It is a super-2 number, since 2×72112305200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14562725 + ... + 14567675.

Almost surely, 2^72112305200 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 72112305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93340515408).

72112305200 is an abundant number, since it is smaller than the sum of its proper divisors (114568725616).

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

72112305200 is a wasteful number, since it uses less digits than its factorization.

72112305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 72112305200 its reverse (250321127), we get a palindrome (72362626327).

The spelling of 72112305200 in words is "seventy-two billion, one hundred twelve million, three hundred five thousand, two hundred".