72166293 has 6 divisors (see below), whose sum is σ = 104240214. Its totient is φ = 48110856.

The previous prime is 72166279. The next prime is 72166307. The reversal of 72166293 is 39266127.

72166293 is a `hidden beast` number, since 7 + 21 + 6 + 629 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (72166279) and next prime (72166307).

It can be written as a sum of positive squares in only one way, i.e., 64112049 + 8054244 = 8007^2 + 2838^2 .

It is not a de Polignac number, because 72166293 - 2²² = 67971989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72166223) 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, 4009230 + ... + 4009247.

It is an arithmetic number, because the mean of its divisors is an integer number (17373369).

Almost surely, 2^72166293 is an apocalyptic number.

It is an amenable number.

72166293 is a deficient number, since it is larger than the sum of its proper divisors (32073921).

72166293 is a wasteful number, since it uses less digits than its factorization.

72166293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018483 (or 8018480 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 72166293 is about 8495.0746318087. The cubic root of 72166293 is about 416.3367992567.

The spelling of 72166293 in words is "seventy-two million, one hundred sixty-six thousand, two hundred ninety-three".