72162301 has 2 divisors, whose sum is σ = 72162302. Its totient is φ = 72162300.

The previous prime is 72162271. The next prime is 72162317. The reversal of 72162301 is 10326127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70056900 + 2105401 = 8370^2 + 1451^2 .

It is a cyclic number.

It is not a de Polignac number, because 72162301 - 2⁵ = 72162269 is a prime.

It is a super-3 number, since 3×72162301³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72162371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36081150 + 36081151.

It is an arithmetic number, because the mean of its divisors is an integer number (36081151).

Almost surely, 2^72162301 is an apocalyptic number.

It is an amenable number.

72162301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72162301 is an equidigital number, since it uses as much as digits as its factorization.

72162301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 72162301 is about 8494.8396688813. The cubic root of 72162301 is about 416.3291223248.

Adding to 72162301 its reverse (10326127), we get a palindrome (82488428).

The spelling of 72162301 in words is "seventy-two million, one hundred sixty-two thousand, three hundred one".