726725633 has 2 divisors, whose sum is σ = 726725634. Its totient is φ = 726725632.

The previous prime is 726725581. The next prime is 726725669. The reversal of 726725633 is 336527627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398681089 + 328044544 = 19967^2 + 18112^2 .

It is an emirp because it is prime and its reverse (336527627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 726725633 - 2¹² = 726721537 is a prime.

It is equal to p_37563854 and since 726725633 and 37563854 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (726775633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363362816 + 363362817.

It is an arithmetic number, because the mean of its divisors is an integer number (363362817).

Almost surely, 2^726725633 is an apocalyptic number.

It is an amenable number.

726725633 is a deficient number, since it is larger than the sum of its proper divisors (1).

726725633 is an equidigital number, since it uses as much as digits as its factorization.

726725633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 317520, while the sum is 41.

The square root of 726725633 is about 26957.8491909128. The cubic root of 726725633 is about 899.0630714682.

The spelling of 726725633 in words is "seven hundred twenty-six million, seven hundred twenty-five thousand, six hundred thirty-three".