729649120 has 48 divisors (see below), whose sum is σ = 1765855728. Its totient is φ = 284738560.

The previous prime is 729649117. The next prime is 729649127. The reversal of 729649120 is 21946927.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729649127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49054 + ... + 62173.

It is an arithmetic number, because the mean of its divisors is an integer number (36788661).

Almost surely, 2^729649120 is an apocalyptic number.

It is an amenable number.

729649120 is an abundant number, since it is smaller than the sum of its proper divisors (1036206608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729649120 is a wasteful number, since it uses less digits than its factorization.

729649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111283 (or 111275 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 729649120 is about 27012.0180660387. The cubic root of 729649120 is about 900.2670483255.

The spelling of 729649120 in words is "seven hundred twenty-nine million, six hundred forty-nine thousand, one hundred twenty".