72061729 has 2 divisors, whose sum is σ = 72061730. Its totient is φ = 72061728.

The previous prime is 72061697. The next prime is 72061733. The reversal of 72061729 is 92716027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66863329 + 5198400 = 8177^2 + 2280^2 .

It is a cyclic number.

It is not a de Polignac number, because 72061729 - 2⁵ = 72061697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72061694 and 72061703.

It is not a weakly prime, because it can be changed into another prime (72061739) 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, 36030864 + 36030865.

It is an arithmetic number, because the mean of its divisors is an integer number (36030865).

Almost surely, 2^72061729 is an apocalyptic number.

It is an amenable number.

72061729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72061729 is an equidigital number, since it uses as much as digits as its factorization.

72061729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 72061729 is about 8488.9180111484. The cubic root of 72061729 is about 416.1356209223.

The spelling of 72061729 in words is "seventy-two million, sixty-one thousand, seven hundred twenty-nine".