72738217 has 2 divisors, whose sum is σ = 72738218. Its totient is φ = 72738216.

The previous prime is 72738203. The next prime is 72738221. The reversal of 72738217 is 71283727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41165056 + 31573161 = 6416^2 + 5619^2 .

It is a cyclic number.

It is not a de Polignac number, because 72738217 - 2¹⁵ = 72705449 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72738227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36369108 + 36369109.

It is an arithmetic number, because the mean of its divisors is an integer number (36369109).

Almost surely, 2^72738217 is an apocalyptic number.

It is an amenable number.

72738217 is a deficient number, since it is larger than the sum of its proper divisors (1).

72738217 is an equidigital number, since it uses as much as digits as its factorization.

72738217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32928, while the sum is 37.

The square root of 72738217 is about 8528.6702949522. The cubic root of 72738217 is about 417.4337413825.

The spelling of 72738217 in words is "seventy-two million, seven hundred thirty-eight thousand, two hundred seventeen".