72114055200 has 432 divisors, whose sum is σ = 283326615936. Its totient is φ = 17109350400.

The previous prime is 72114055177. The next prime is 72114055259. The reversal of 72114055200 is 255041127.

72114055200 is a `hidden beast` number, since 72 + 1 + 1 + 40 + 552 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3712714 + ... + 3732086.

It is an arithmetic number, because the mean of its divisors is an integer number (655848648).

Almost surely, 2^72114055200 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 72114055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141663307968).

72114055200 is an abundant number, since it is smaller than the sum of its proper divisors (211212560736).

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

72114055200 is a wasteful number, since it uses less digits than its factorization.

72114055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19457 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 72114055200 its reverse (255041127), we get a palindrome (72369096327).

The spelling of 72114055200 in words is "seventy-two billion, one hundred fourteen million, fifty-five thousand, two hundred".