729982272 has 56 divisors (see below), whose sum is σ = 1953158400. Its totient is φ = 240587776.

The previous prime is 729982153. The next prime is 729982273. The reversal of 729982272 is 272289927.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729982273) 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 in 7 ways as a sum of consecutive naturals, for example, 4272 + ... + 38447.

Almost surely, 2^729982272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976579200).

729982272 is an abundant number, since it is smaller than the sum of its proper divisors (1223176128).

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

729982272 is a wasteful number, since it uses less digits than its factorization.

729982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42823 (or 42813 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 729982272 is about 27018.1840988620. The cubic root of 729982272 is about 900.4040457412.

The spelling of 729982272 in words is "seven hundred twenty-nine million, nine hundred eighty-two thousand, two hundred seventy-two".