72611177660361 has 12 divisors (see below), whose sum is σ = 104882936017860. Its totient is φ = 48407394615840.

The previous prime is 72611177660347. The next prime is 72611177660467. The reversal of 72611177660361 is 16306677111627.

72611177660361 is a `hidden beast` number, since 7 + 2 + 6 + 11 + 17 + 7 + 6 + 603 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32124172216761 + 40487005443600 = 5667819^2 + 6362940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72611177660361 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72611177660298 and 72611177660307.

It is not an unprimeable number, because it can be changed into a prime (72611177660561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4162875 + ... + 12749583.

It is an arithmetic number, because the mean of its divisors is an integer number (8740244668155).

Almost surely, 2^{72611177660361} is an apocalyptic number.

It is an amenable number.

72611177660361 is a deficient number, since it is larger than the sum of its proper divisors (32271758357499).

72611177660361 is a wasteful number, since it uses less digits than its factorization.

72611177660361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526296 (or 9526293 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 72611177660361 in words is "seventy-two trillion, six hundred eleven billion, one hundred seventy-seven million, six hundred sixty thousand, three hundred sixty-one".