72301417 has 2 divisors, whose sum is σ = 72301418. Its totient is φ = 72301416.

The previous prime is 72301363. The next prime is 72301423. The reversal of 72301417 is 71410327.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36433296 + 35868121 = 6036^2 + 5989^2 .

It is a cyclic number.

It is not a de Polignac number, because 72301417 - 2¹⁹ = 71777129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72301391 and 72301400.

It is not a weakly prime, because it can be changed into another prime (72301457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36150708 + 36150709.

It is an arithmetic number, because the mean of its divisors is an integer number (36150709).

Almost surely, 2^72301417 is an apocalyptic number.

It is an amenable number.

72301417 is a deficient number, since it is larger than the sum of its proper divisors (1).

72301417 is an equidigital number, since it uses as much as digits as its factorization.

72301417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 72301417 is about 8503.0239914986. The cubic root of 72301417 is about 416.5964865979.

The spelling of 72301417 in words is "seventy-two million, three hundred one thousand, four hundred seventeen".