72259517633 has 16 divisors (see below), whose sum is σ = 77378976000. Its totient is φ = 67272507792.

The previous prime is 72259517623. The next prime is 72259517647. The reversal of 72259517633 is 33671595227.

It is a cyclic number.

It is not a de Polignac number, because 72259517633 - 2¹⁸ = 72259255489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72259517623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3742358 + ... + 3761616.

It is an arithmetic number, because the mean of its divisors is an integer number (4836186000).

Almost surely, 2^72259517633 is an apocalyptic number.

It is an amenable number.

72259517633 is a deficient number, since it is larger than the sum of its proper divisors (5119458367).

72259517633 is a wasteful number, since it uses less digits than its factorization.

72259517633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684.

The product of its digits is 2381400, while the sum is 50.

The spelling of 72259517633 in words is "seventy-two billion, two hundred fifty-nine million, five hundred seventeen thousand, six hundred thirty-three".