72033937 has 2 divisors, whose sum is σ = 72033938. Its totient is φ = 72033936.

The previous prime is 72033919. The next prime is 72033979. The reversal of 72033937 is 73933027.

72033937 is nontrivially palindromic in base 2.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71216721 + 817216 = 8439^2 + 904^2 .

It is a cyclic number.

It is not a de Polignac number, because 72033937 - 2⁷ = 72033809 is a prime.

It is not a weakly prime, because it can be changed into another prime (72033917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36016968 + 36016969.

It is an arithmetic number, because the mean of its divisors is an integer number (36016969).

Almost surely, 2^72033937 is an apocalyptic number.

It is an amenable number.

72033937 is a deficient number, since it is larger than the sum of its proper divisors (1).

72033937 is an equidigital number, since it uses as much as digits as its factorization.

72033937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 34.

The square root of 72033937 is about 8487.2808955519. The cubic root of 72033937 is about 416.0821171257.

The spelling of 72033937 in words is "seventy-two million, thirty-three thousand, nine hundred thirty-seven".