72407655114417 has 48 divisors (see below), whose sum is σ = 125265959894400. Its totient is φ = 40257537915168.

The previous prime is 72407655114413. The next prime is 72407655114479. The reversal of 72407655114417 is 71441155670427.

72407655114417 is a `hidden beast` number, since 7 + 2 + 4 + 0 + 76 + 5 + 511 + 44 + 17 = 666.

It is not a de Polignac number, because 72407655114417 - 2² = 72407655114413 is a prime.

It is a super-2 number, since 2×72407655114417² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72407655114413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316854303 + ... + 317082740.

It is an arithmetic number, because the mean of its divisors is an integer number (2609707497800).

Almost surely, 2^{72407655114417} is an apocalyptic number.

It is an amenable number.

72407655114417 is a deficient number, since it is larger than the sum of its proper divisors (52858304779983).

72407655114417 is a wasteful number, since it uses less digits than its factorization.

72407655114417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633937107 (or 633937090 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 72407655114417 in words is "seventy-two trillion, four hundred seven billion, six hundred fifty-five million, one hundred fourteen thousand, four hundred seventeen".