72564398353 has 2 divisors, whose sum is σ = 72564398354. Its totient is φ = 72564398352.

The previous prime is 72564398339. The next prime is 72564398371. The reversal of 72564398353 is 35389346527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68870554624 + 3693843729 = 262432^2 + 60777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72564398353 is a prime.

It is a super-2 number, since 2×72564398353² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72564398294 and 72564398303.

It is not a weakly prime, because it can be changed into another prime (72564398383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36282199176 + 36282199177.

It is an arithmetic number, because the mean of its divisors is an integer number (36282199177).

Almost surely, 2^72564398353 is an apocalyptic number.

It is an amenable number.

72564398353 is a deficient number, since it is larger than the sum of its proper divisors (1).

72564398353 is an equidigital number, since it uses as much as digits as its factorization.

72564398353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16329600, while the sum is 55.

The spelling of 72564398353 in words is "seventy-two billion, five hundred sixty-four million, three hundred ninety-eight thousand, three hundred fifty-three".