72616345370361 has 48 divisors (see below), whose sum is σ = 117871704752256. Its totient is φ = 42743454893568.

The previous prime is 72616345370293. The next prime is 72616345370377. The reversal of 72616345370361 is 16307354361627.

It is a happy number.

72616345370361 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 63 + 453 + 70 + 3 + 61 = 666.

It is not a de Polignac number, because 72616345370361 - 2¹⁴ = 72616345353977 is a prime.

It is a super-2 number, since 2×72616345370361² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72616345370298 and 72616345370307.

It is not an unprimeable number, because it can be changed into a prime (72616345370461) 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, 244159201 + ... + 244456433.

It is an arithmetic number, because the mean of its divisors is an integer number (2455660515672).

Almost surely, 2^{72616345370361} is an apocalyptic number.

It is an amenable number.

72616345370361 is a deficient number, since it is larger than the sum of its proper divisors (45255359381895).

72616345370361 is a wasteful number, since it uses less digits than its factorization.

72616345370361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388062 (or 388059 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 72616345370361 in words is "seventy-two trillion, six hundred sixteen billion, three hundred forty-five million, three hundred seventy thousand, three hundred sixty-one".