729272148 has 72 divisors (see below), whose sum is σ = 1918476000. Its totient is φ = 213825600.

The previous prime is 729272123. The next prime is 729272221. The reversal of 729272148 is 841272927.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 123978 + ... + 129726.

It is an arithmetic number, because the mean of its divisors is an integer number (26645500).

Almost surely, 2^729272148 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 729272148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959238000).

729272148 is an abundant number, since it is smaller than the sum of its proper divisors (1189203852).

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

729272148 is a wasteful number, since it uses less digits than its factorization.

729272148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5796 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 729272148 is about 27005.0393075070. The cubic root of 729272148 is about 900.1119811281. Note that the first 3 decimals are identical.

The spelling of 729272148 in words is "seven hundred twenty-nine million, two hundred seventy-two thousand, one hundred forty-eight".