72431417 has 2 divisors, whose sum is σ = 72431418. Its totient is φ = 72431416.

The previous prime is 72431389. The next prime is 72431419. The reversal of 72431417 is 71413427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37100281 + 35331136 = 6091^2 + 5944^2 .

It is a cyclic number.

It is not a de Polignac number, because 72431417 - 2²⁶ = 5322553 is a prime.

Together with 72431419, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72431417.

It is not a weakly prime, because it can be changed into another prime (72431419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36215708 + 36215709.

It is an arithmetic number, because the mean of its divisors is an integer number (36215709).

Almost surely, 2^72431417 is an apocalyptic number.

It is an amenable number.

72431417 is a deficient number, since it is larger than the sum of its proper divisors (1).

72431417 is an equidigital number, since it uses as much as digits as its factorization.

72431417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4704, while the sum is 29.

The square root of 72431417 is about 8510.6648976446. The cubic root of 72431417 is about 416.8460212034.

The spelling of 72431417 in words is "seventy-two million, four hundred thirty-one thousand, four hundred seventeen".