72211112201 has 8 divisors (see below), whose sum is σ = 72730993608. Its totient is φ = 71692560000.

The previous prime is 72211112191. The next prime is 72211112209. The reversal of 72211112201 is 10221111227.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22326336400 + 49884775801 = 149420^2 + 223349^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72211112201 - 2⁶ = 72211112137 is a prime.

It is a super-2 number, since 2×72211112201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72211112209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223130 + ... + 440691.

It is an arithmetic number, because the mean of its divisors is an integer number (9091374201).

Almost surely, 2^72211112201 is an apocalyptic number.

It is an amenable number.

72211112201 is a deficient number, since it is larger than the sum of its proper divisors (519881407).

72211112201 is a wasteful number, since it uses less digits than its factorization.

72211112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664603.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 72211112201 its reverse (10221111227), we get a palindrome (82432223428).

The spelling of 72211112201 in words is "seventy-two billion, two hundred eleven million, one hundred twelve thousand, two hundred one".