72305670131 has 16 divisors (see below), whose sum is σ = 74492377056. Its totient is φ = 70152316416.

The previous prime is 72305670119. The next prime is 72305670139. The reversal of 72305670131 is 13107650327.

It is a cyclic number.

It is not a de Polignac number, because 72305670131 - 2¹⁴ = 72305653747 is a prime.

It is a super-2 number, since 2×72305670131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72305670091 and 72305670100.

It is not an unprimeable number, because it can be changed into a prime (72305670139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2639501 + ... + 2666753.

It is an arithmetic number, because the mean of its divisors is an integer number (4655773566).

Almost surely, 2^72305670131 is an apocalyptic number.

72305670131 is a deficient number, since it is larger than the sum of its proper divisors (2186706925).

72305670131 is a wasteful number, since it uses less digits than its factorization.

72305670131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27862.

The product of its (nonzero) digits is 26460, while the sum is 35.

The spelling of 72305670131 in words is "seventy-two billion, three hundred five million, six hundred seventy thousand, one hundred thirty-one".