72147457436217 has 32 divisors (see below), whose sum is σ = 97824566246400. Its totient is φ = 47293211448000.

The previous prime is 72147457436189. The next prime is 72147457436221. The reversal of 72147457436217 is 71263475474127.

It is not a de Polignac number, because 72147457436217 - 2¹² = 72147457432121 is a prime.

It is a super-2 number, since 2×72147457436217² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72147457436297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16315588 + ... + 20260634.

It is an arithmetic number, because the mean of its divisors is an integer number (3057017695200).

Almost surely, 2^{72147457436217} is an apocalyptic number.

It is an amenable number.

72147457436217 is a deficient number, since it is larger than the sum of its proper divisors (25677108810183).

72147457436217 is a wasteful number, since it uses less digits than its factorization.

72147457436217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945613.

The product of its digits is 55319040, while the sum is 60.

The spelling of 72147457436217 in words is "seventy-two trillion, one hundred forty-seven billion, four hundred fifty-seven million, four hundred thirty-six thousand, two hundred seventeen".