72051017 has 2 divisors, whose sum is σ = 72051018. Its totient is φ = 72051016.

The previous prime is 72051011. The next prime is 72051029. The reversal of 72051017 is 71015027.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56715961 + 15335056 = 7531^2 + 3916^2 .

It is a cyclic number.

It is not a de Polignac number, because 72051017 - 2¹⁶ = 71985481 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72050983 and 72051001.

It is not a weakly prime, because it can be changed into another prime (72051011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36025508 + 36025509.

It is an arithmetic number, because the mean of its divisors is an integer number (36025509).

Almost surely, 2^72051017 is an apocalyptic number.

It is an amenable number.

72051017 is a deficient number, since it is larger than the sum of its proper divisors (1).

72051017 is an equidigital number, since it uses as much as digits as its factorization.

72051017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 72051017 is about 8488.2870474555. The cubic root of 72051017 is about 416.1150003343.

The spelling of 72051017 in words is "seventy-two million, fifty-one thousand, seventeen".