72166873 has 2 divisors, whose sum is σ = 72166874. Its totient is φ = 72166872.

The previous prime is 72166859. The next prime is 72166901. The reversal of 72166873 is 37866127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64593369 + 7573504 = 8037^2 + 2752^2 .

It is a cyclic number.

It is not a de Polignac number, because 72166873 - 2⁵ = 72166841 is a prime.

It is not a weakly prime, because it can be changed into another prime (72166673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36083436 + 36083437.

It is an arithmetic number, because the mean of its divisors is an integer number (36083437).

Almost surely, 2^72166873 is an apocalyptic number.

It is an amenable number.

72166873 is a deficient number, since it is larger than the sum of its proper divisors (1).

72166873 is an equidigital number, since it uses as much as digits as its factorization.

72166873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84672, while the sum is 40.

The square root of 72166873 is about 8495.1087691683. The cubic root of 72166873 is about 416.3379146190.

The spelling of 72166873 in words is "seventy-two million, one hundred sixty-six thousand, eight hundred seventy-three".