72000133 has 2 divisors, whose sum is σ = 72000134. Its totient is φ = 72000132.

The previous prime is 72000121. The next prime is 72000161. The reversal of 72000133 is 33100027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48205249 + 23794884 = 6943^2 + 4878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72000133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72006133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36000066 + 36000067.

It is an arithmetic number, because the mean of its divisors is an integer number (36000067).

Almost surely, 2^72000133 is an apocalyptic number.

It is an amenable number.

72000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72000133 is an equidigital number, since it uses as much as digits as its factorization.

72000133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 72000133 is about 8485.2892113351. The cubic root of 72000133 is about 416.0170207687.

The spelling of 72000133 in words is "seventy-two million, one hundred thirty-three", and thus it is an aban number.