72416243101131 has 12 divisors (see below), whose sum is σ = 110106568458120. Its totient is φ = 45736574590080.

The previous prime is 72416243101109. The next prime is 72416243101187. The reversal of 72416243101131 is 13110134261427.

72416243101131 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 624 + 3 + 10 + 1 + 13 + 1 = 666.

It is not a de Polignac number, because 72416243101131 - 2¹⁴ = 72416243084747 is a prime.

It is a super-2 number, since 2×72416243101131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72416243101331) 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, 211743400710 + ... + 211743401051.

It is an arithmetic number, because the mean of its divisors is an integer number (9175547371510).

Almost surely, 2^{72416243101131} is an apocalyptic number.

72416243101131 is a deficient number, since it is larger than the sum of its proper divisors (37690325356989).

72416243101131 is a wasteful number, since it uses less digits than its factorization.

72416243101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423486801786 (or 423486801783 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 72416243101131 its reverse (13110134261427), we get a palindrome (85526377362558).

The spelling of 72416243101131 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-three million, one hundred one thousand, one hundred thirty-one".