72610201 has 2 divisors, whose sum is σ = 72610202. Its totient is φ = 72610200.

The previous prime is 72610199. The next prime is 72610211. The reversal of 72610201 is 10201627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72505225 + 104976 = 8515^2 + 324^2 .

It is a cyclic number.

It is not a de Polignac number, because 72610201 - 2¹ = 72610199 is a prime.

Together with 72610199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72610211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36305100 + 36305101.

It is an arithmetic number, because the mean of its divisors is an integer number (36305101).

Almost surely, 2^72610201 is an apocalyptic number.

It is an amenable number.

72610201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72610201 is an equidigital number, since it uses as much as digits as its factorization.

72610201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 72610201 is about 8521.1619512834. The cubic root of 72610201 is about 417.1887093560.

Adding to 72610201 its reverse (10201627), we get a palindrome (82811828).

The spelling of 72610201 in words is "seventy-two million, six hundred ten thousand, two hundred one".