72611101 has 2 divisors, whose sum is σ = 72611102. Its totient is φ = 72611100.

The previous prime is 72611081. The next prime is 72611137. The reversal of 72611101 is 10111627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66031876 + 6579225 = 8126^2 + 2565^2 .

It is a cyclic number.

It is not a de Polignac number, because 72611101 - 2⁹ = 72610589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72617101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36305550 + 36305551.

It is an arithmetic number, because the mean of its divisors is an integer number (36305551).

Almost surely, 2^72611101 is an apocalyptic number.

It is an amenable number.

72611101 is a deficient number, since it is larger than the sum of its proper divisors (1).

72611101 is an equidigital number, since it uses as much as digits as its factorization.

72611101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 72611101 is about 8521.2147608190. The cubic root of 72611101 is about 417.1904330270.

Adding to 72611101 its reverse (10111627), we get a palindrome (82722728).

The spelling of 72611101 in words is "seventy-two million, six hundred eleven thousand, one hundred one".