72222609600 has 756 divisors, whose sum is σ = 281761231752. Its totient is φ = 17484595200.

The previous prime is 72222609533. The next prime is 72222609619. The reversal of 72222609600 is 690622227.

72222609600 is a `hidden beast` number, since 7 + 2 + 22 + 26 + 0 + 9 + 600 = 666.

It is a super-2 number, since 2×72222609600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 235252647 + ... + 235252953.

It is an arithmetic number, because the mean of its divisors is an integer number (372700042).

Almost surely, 2^72222609600 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 72222609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140880615876).

72222609600 is an abundant number, since it is smaller than the sum of its proper divisors (209538622152).

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

72222609600 is a wasteful number, since it uses less digits than its factorization.

72222609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 72222609600 in words is "seventy-two billion, two hundred twenty-two million, six hundred nine thousand, six hundred".