72186961 has 16 divisors (see below), whose sum is σ = 91146240. Its totient is φ = 55532880.

The previous prime is 72186929. The next prime is 72186967. The reversal of 72186961 is 16968127.

It is a cyclic number.

It is not a de Polignac number, because 72186961 - 2⁵ = 72186929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72186967) 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 15 ways as a sum of consecutive naturals, for example, 150 + ... + 12016.

It is an arithmetic number, because the mean of its divisors is an integer number (5696640).

Almost surely, 2^72186961 is an apocalyptic number.

It is an amenable number.

72186961 is a deficient number, since it is larger than the sum of its proper divisors (18959279).

72186961 is a wasteful number, since it uses less digits than its factorization.

72186961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964.

The product of its digits is 36288, while the sum is 40.

The square root of 72186961 is about 8496.2910143191. The cubic root of 72186961 is about 416.3765409296.

The spelling of 72186961 in words is "seventy-two million, one hundred eighty-six thousand, nine hundred sixty-one".