72257203309 has 2 divisors, whose sum is σ = 72257203310. Its totient is φ = 72257203308.

The previous prime is 72257203283. The next prime is 72257203349. The reversal of 72257203309 is 90330275227.

It is an a-pointer prime, because the next prime (72257203349) can be obtained adding 72257203309 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68817028900 + 3440174409 = 262330^2 + 58653^2 .

It is a cyclic number.

It is not a de Polignac number, because 72257203309 - 2¹⁵ = 72257170541 is a prime.

It is a super-2 number, since 2×72257203309² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72257203349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36128601654 + 36128601655.

It is an arithmetic number, because the mean of its divisors is an integer number (36128601655).

Almost surely, 2^72257203309 is an apocalyptic number.

It is an amenable number.

72257203309 is a deficient number, since it is larger than the sum of its proper divisors (1).

72257203309 is an equidigital number, since it uses as much as digits as its factorization.

72257203309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 72257203309 in words is "seventy-two billion, two hundred fifty-seven million, two hundred three thousand, three hundred nine".