72913133 has 2 divisors, whose sum is σ = 72913134. Its totient is φ = 72913132.

The previous prime is 72913111. The next prime is 72913171. The reversal of 72913133 is 33131927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70593604 + 2319529 = 8402^2 + 1523^2 .

It is an emirp because it is prime and its reverse (33131927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72913133 - 2⁸ = 72912877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72913096 and 72913105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72913193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36456566 + 36456567.

It is an arithmetic number, because the mean of its divisors is an integer number (36456567).

Almost surely, 2^72913133 is an apocalyptic number.

It is an amenable number.

72913133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72913133 is an equidigital number, since it uses as much as digits as its factorization.

72913133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 29.

The square root of 72913133 is about 8538.9187254593. The cubic root of 72913133 is about 417.7680791099.

The spelling of 72913133 in words is "seventy-two million, nine hundred thirteen thousand, one hundred thirty-three".