72075917 has 2 divisors, whose sum is σ = 72075918. Its totient is φ = 72075916.

The previous prime is 72075851. The next prime is 72075931. The reversal of 72075917 is 71957027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65593801 + 6482116 = 8099^2 + 2546^2 .

It is a cyclic number.

It is not a de Polignac number, because 72075917 - 2¹⁶ = 72010381 is a prime.

It is a super-2 number, since 2×72075917² = 10389875622781778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72075517) 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, 36037958 + 36037959.

It is an arithmetic number, because the mean of its divisors is an integer number (36037959).

Almost surely, 2^72075917 is an apocalyptic number.

It is an amenable number.

72075917 is a deficient number, since it is larger than the sum of its proper divisors (1).

72075917 is an equidigital number, since it uses as much as digits as its factorization.

72075917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 72075917 is about 8489.7536477804. The cubic root of 72075917 is about 416.1629296609.

The spelling of 72075917 in words is "seventy-two million, seventy-five thousand, nine hundred seventeen".