72569641 has 2 divisors, whose sum is σ = 72569642. Its totient is φ = 72569640.

The previous prime is 72569603. The next prime is 72569659. The reversal of 72569641 is 14696527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49491225 + 23078416 = 7035^2 + 4804^2 .

It is an emirp because it is prime and its reverse (14696527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72569641 - 2⁹ = 72569129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72569594 and 72569603.

It is not a weakly prime, because it can be changed into another prime (72569041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36284820 + 36284821.

It is an arithmetic number, because the mean of its divisors is an integer number (36284821).

Almost surely, 2^72569641 is an apocalyptic number.

It is an amenable number.

72569641 is a deficient number, since it is larger than the sum of its proper divisors (1).

72569641 is an equidigital number, since it uses as much as digits as its factorization.

72569641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 40.

The square root of 72569641 is about 8518.7816617167. The cubic root of 72569641 is about 417.1110144614. Note that the first 3 decimals are identical.

The spelling of 72569641 in words is "seventy-two million, five hundred sixty-nine thousand, six hundred forty-one".