72312601 has 2 divisors, whose sum is σ = 72312602. Its totient is φ = 72312600.

The previous prime is 72312551. The next prime is 72312619. The reversal of 72312601 is 10621327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66667225 + 5645376 = 8165^2 + 2376^2 .

It is an emirp because it is prime and its reverse (10621327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72312601 - 2⁹ = 72312089 is a prime.

It is a super-2 number, since 2×72312601² = 10458224526770402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72312001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36156300 + 36156301.

It is an arithmetic number, because the mean of its divisors is an integer number (36156301).

Almost surely, 2^72312601 is an apocalyptic number.

It is an amenable number.

72312601 is a deficient number, since it is larger than the sum of its proper divisors (1).

72312601 is an equidigital number, since it uses as much as digits as its factorization.

72312601 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 72312601 is about 8503.6816144538. The cubic root of 72312601 is about 416.6179660058.

Adding to 72312601 its reverse (10621327), we get a palindrome (82933928).

The spelling of 72312601 in words is "seventy-two million, three hundred twelve thousand, six hundred one".