72632816817 has 8 divisors (see below), whose sum is σ = 105647733600. Its totient is φ = 44019888960.

The previous prime is 72632816801. The next prime is 72632816843. The reversal of 72632816817 is 71861823627.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72632816817 - 2⁴ = 72632816801 is a prime.

It is a super-2 number, since 2×72632816817² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72632816817.

It is not an unprimeable number, because it can be changed into a prime (72632816617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1100497192 + ... + 1100497257.

It is an arithmetic number, because the mean of its divisors is an integer number (13205966700).

Almost surely, 2^72632816817 is an apocalyptic number.

It is an amenable number.

72632816817 is a deficient number, since it is larger than the sum of its proper divisors (33014916783).

72632816817 is a wasteful number, since it uses less digits than its factorization.

72632816817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200994463.

The product of its digits is 1354752, while the sum is 51.

The spelling of 72632816817 in words is "seventy-two billion, six hundred thirty-two million, eight hundred sixteen thousand, eight hundred seventeen".