72165953 has 2 divisors, whose sum is σ = 72165954. Its totient is φ = 72165952.

The previous prime is 72165941. The next prime is 72165991. The reversal of 72165953 is 35956127.

It is a happy number.

It is an a-pointer prime, because the next prime (72165991) can be obtained adding 72165953 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68277169 + 3888784 = 8263^2 + 1972^2 .

It is a cyclic number.

It is not a de Polignac number, because 72165953 - 2⁶ = 72165889 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72161953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082976 + 36082977.

It is an arithmetic number, because the mean of its divisors is an integer number (36082977).

Almost surely, 2^72165953 is an apocalyptic number.

It is an amenable number.

72165953 is a deficient number, since it is larger than the sum of its proper divisors (1).

72165953 is an equidigital number, since it uses as much as digits as its factorization.

72165953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 56700, while the sum is 38.

The square root of 72165953 is about 8495.0546201893. The cubic root of 72165953 is about 416.3361454208.

The spelling of 72165953 in words is "seventy-two million, one hundred sixty-five thousand, nine hundred fifty-three".