72583733 has 2 divisors, whose sum is σ = 72583734. Its totient is φ = 72583732.

The previous prime is 72583669. The next prime is 72583759. The reversal of 72583733 is 33738527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46553329 + 26030404 = 6823^2 + 5102^2 .

It is a cyclic number.

It is not a de Polignac number, because 72583733 - 2⁶ = 72583669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72583033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36291866 + 36291867.

It is an arithmetic number, because the mean of its divisors is an integer number (36291867).

Almost surely, 2^72583733 is an apocalyptic number.

It is an amenable number.

72583733 is a deficient number, since it is larger than the sum of its proper divisors (1).

72583733 is an equidigital number, since it uses as much as digits as its factorization.

72583733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 38.

The square root of 72583733 is about 8519.6087351474. The cubic root of 72583733 is about 417.1380117379.

The spelling of 72583733 in words is "seventy-two million, five hundred eighty-three thousand, seven hundred thirty-three".