72271933 has 2 divisors, whose sum is σ = 72271934. Its totient is φ = 72271932.

The previous prime is 72271919. The next prime is 72271937. The reversal of 72271933 is 33917227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48972004 + 23299929 = 6998^2 + 4827^2 .

It is a cyclic number.

It is not a de Polignac number, because 72271933 - 2²¹ = 70174781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72271937) 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, 36135966 + 36135967.

It is an arithmetic number, because the mean of its divisors is an integer number (36135967).

Almost surely, 2^72271933 is an apocalyptic number.

It is an amenable number.

72271933 is a deficient number, since it is larger than the sum of its proper divisors (1).

72271933 is an equidigital number, since it uses as much as digits as its factorization.

72271933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 34.

The square root of 72271933 is about 8501.2900785704. The cubic root of 72271933 is about 416.5398505441.

The spelling of 72271933 in words is "seventy-two million, two hundred seventy-one thousand, nine hundred thirty-three".