72705654804417 has 16 divisors (see below), whose sum is σ = 101927874521088. Its totient is φ = 46009110015440.

The previous prime is 72705654804403. The next prime is 72705654804467. The reversal of 72705654804417 is 71440845650727.

It is a cyclic number.

It is not a de Polignac number, because 72705654804417 - 2⁴ = 72705654804401 is a prime.

It is a super-2 number, since 2×72705654804417² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72705654804467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4021766313 + ... + 4021784390.

It is an arithmetic number, because the mean of its divisors is an integer number (6370492157568).

Almost surely, 2^{72705654804417} is an apocalyptic number.

It is an amenable number.

72705654804417 is a deficient number, since it is larger than the sum of its proper divisors (29222219716671).

72705654804417 is a wasteful number, since it uses less digits than its factorization.

72705654804417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043550860.

The product of its (nonzero) digits is 52684800, while the sum is 60.

The spelling of 72705654804417 in words is "seventy-two trillion, seven hundred five billion, six hundred fifty-four million, eight hundred four thousand, four hundred seventeen".