72073193 has 2 divisors, whose sum is σ = 72073194. Its totient is φ = 72073192.

The previous prime is 72073153. The next prime is 72073241. The reversal of 72073193 is 39137027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52243984 + 19829209 = 7228^2 + 4453^2 .

It is an emirp because it is prime and its reverse (39137027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72073193 - 2⁶ = 72073129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72073123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36036596 + 36036597.

It is an arithmetic number, because the mean of its divisors is an integer number (36036597).

Almost surely, 2^72073193 is an apocalyptic number.

It is an amenable number.

72073193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72073193 is an equidigital number, since it uses as much as digits as its factorization.

72073193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 72073193 is about 8489.5932175812. The cubic root of 72073193 is about 416.1576868458.

The spelling of 72073193 in words is "seventy-two million, seventy-three thousand, one hundred ninety-three".