72467410201 has 2 divisors, whose sum is σ = 72467410202. Its totient is φ = 72467410200.

The previous prime is 72467410157. The next prime is 72467410247. The reversal of 72467410201 is 10201476427.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39720888601 + 32746521600 = 199301^2 + 180960^2 .

It is a cyclic number.

It is not a de Polignac number, because 72467410201 - 2²¹ = 72465313049 is a prime.

It is not a weakly prime, because it can be changed into another prime (72467410261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36233705100 + 36233705101.

It is an arithmetic number, because the mean of its divisors is an integer number (36233705101).

Almost surely, 2^72467410201 is an apocalyptic number.

It is an amenable number.

72467410201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72467410201 is an equidigital number, since it uses as much as digits as its factorization.

72467410201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18816, while the sum is 34.

Adding to 72467410201 its reverse (10201476427), we get a palindrome (82668886628).

The spelling of 72467410201 in words is "seventy-two billion, four hundred sixty-seven million, four hundred ten thousand, two hundred one".