72965565 has 12 divisors (see below), whose sum is σ = 126473724. Its totient is φ = 38914944.

The previous prime is 72965561. The next prime is 72965579. The reversal of 72965565 is 56556927.

72965565 is a `hidden beast` number, since 7 + 2 + 96 + 556 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24147396 + 48818169 = 4914^2 + 6987^2 .

It is not a de Polignac number, because 72965565 - 2² = 72965561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1621457 = 72965565 / (7 + 2 + 9 + 6 + 5 + 5 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 72965565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72965561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810684 + ... + 810773.

It is an arithmetic number, because the mean of its divisors is an integer number (10539477).

Almost surely, 2^72965565 is an apocalyptic number.

It is an amenable number.

72965565 is a deficient number, since it is larger than the sum of its proper divisors (53508159).

72965565 is a wasteful number, since it uses less digits than its factorization.

72965565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621468 (or 1621465 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 72965565 is about 8541.9883516661. The cubic root of 72965565 is about 417.8681944417.

The spelling of 72965565 in words is "seventy-two million, nine hundred sixty-five thousand, five hundred sixty-five".