72174961 has 2 divisors, whose sum is σ = 72174962. Its totient is φ = 72174960.

The previous prime is 72174937. The next prime is 72175001. The reversal of 72174961 is 16947127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69472225 + 2702736 = 8335^2 + 1644^2 .

It is an emirp because it is prime and its reverse (16947127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72174961 - 2⁵ = 72174929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72174961.

It is not a weakly prime, because it can be changed into another prime (72874961) 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 as a sum of consecutive naturals, namely, 36087480 + 36087481.

It is an arithmetic number, because the mean of its divisors is an integer number (36087481).

Almost surely, 2^72174961 is an apocalyptic number.

It is an amenable number.

72174961 is a deficient number, since it is larger than the sum of its proper divisors (1).

72174961 is an equidigital number, since it uses as much as digits as its factorization.

72174961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 37.

The square root of 72174961 is about 8495.5847944682. The cubic root of 72174961 is about 416.3534675319.

The spelling of 72174961 in words is "seventy-two million, one hundred seventy-four thousand, nine hundred sixty-one".