729633149 has 16 divisors (see below), whose sum is σ = 896105088. Its totient is φ = 579820032.

The previous prime is 729633131. The next prime is 729633167. The reversal of 729633149 is 941336927.

It is an interprime number because it is at equal distance from previous prime (729633131) and next prime (729633167).

It is a cyclic number.

It is not a de Polignac number, because 729633149 - 2²⁰ = 728584573 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729633049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37784 + ... + 53729.

It is an arithmetic number, because the mean of its divisors is an integer number (56006568).

Almost surely, 2^729633149 is an apocalyptic number.

It is an amenable number.

729633149 is a deficient number, since it is larger than the sum of its proper divisors (166471939).

729633149 is a wasteful number, since it uses less digits than its factorization.

729633149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91604.

The product of its digits is 244944, while the sum is 44.

The square root of 729633149 is about 27011.7224367496. The cubic root of 729633149 is about 900.2604797482.

The spelling of 729633149 in words is "seven hundred twenty-nine million, six hundred thirty-three thousand, one hundred forty-nine".