72048917 has 2 divisors, whose sum is σ = 72048918. Its totient is φ = 72048916.

The previous prime is 72048881. The next prime is 72048923. The reversal of 72048917 is 71984027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59382436 + 12666481 = 7706^2 + 3559^2 .

It is a cyclic number.

It is not a de Polignac number, because 72048917 - 2²⁴ = 55271701 is a prime.

It is a super-3 number, since 3×72048917³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72048937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36024458 + 36024459.

It is an arithmetic number, because the mean of its divisors is an integer number (36024459).

Almost surely, 2^72048917 is an apocalyptic number.

It is an amenable number.

72048917 is a deficient number, since it is larger than the sum of its proper divisors (1).

72048917 is an equidigital number, since it uses as much as digits as its factorization.

72048917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 72048917 is about 8488.1633466846. The cubic root of 72048917 is about 416.1109575971.

The spelling of 72048917 in words is "seventy-two million, forty-eight thousand, nine hundred seventeen".