72565132401 has 12 divisors (see below), whose sum is σ = 104830285300. Its totient is φ = 48370301280.

The previous prime is 72565132397. The next prime is 72565132403. The reversal of 72565132401 is 10423156527.

72565132401 is a `hidden beast` number, since 72 + 56 + 5 + 132 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60380284176 + 12184848225 = 245724^2 + 110385^2 .

It is not a de Polignac number, because 72565132401 - 2² = 72565132397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72565132403) 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, 466090 + ... + 601971.

Almost surely, 2^72565132401 is an apocalyptic number.

It is an amenable number.

72565132401 is a deficient number, since it is larger than the sum of its proper divisors (32265152899).

72565132401 is a wasteful number, since it uses less digits than its factorization.

72565132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075616 (or 1075613 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 72565132401 its reverse (10423156527), we get a palindrome (82988288928).

The spelling of 72565132401 in words is "seventy-two billion, five hundred sixty-five million, one hundred thirty-two thousand, four hundred one".