72186131 has 6 divisors (see below), whose sum is σ = 76682460. Its totient is φ = 67939616.

The previous prime is 72186091. The next prime is 72186137. The reversal of 72186131 is 13168127.

It is a de Polignac number, because none of the positive numbers 2^k-72186131 is a prime.

It is a super-2 number, since 2×72186131² = 10421675017498322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72186094 and 72186103.

It is not an unprimeable number, because it can be changed into a prime (72186137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124601 + ... + 125178.

It is an arithmetic number, because the mean of its divisors is an integer number (12780410).

Almost surely, 2^72186131 is an apocalyptic number.

72186131 is a deficient number, since it is larger than the sum of its proper divisors (4496329).

72186131 is a wasteful number, since it uses less digits than its factorization.

72186131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249813 (or 249796 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 72186131 is about 8496.2421693358. The cubic root of 72186131 is about 416.3749451019.

The spelling of 72186131 in words is "seventy-two million, one hundred eighty-six thousand, one hundred thirty-one".