729109150 has 192 divisors, whose sum is σ = 1799884800. Its totient is φ = 213120000.

The previous prime is 729109127. The next prime is 729109169. The reversal of 729109150 is 51901927.

It is a super-2 number, since 2×729109150² = 1063200305227445000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4893276 + ... + 4893424.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^729109150 is an apocalyptic number.

729109150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

729109150 is an abundant number, since it is smaller than the sum of its proper divisors (1070775650).

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

729109150 is a wasteful number, since it uses less digits than its factorization.

729109150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 729109150 is about 27002.0212206420. The cubic root of 729109150 is about 900.0449154539.

The spelling of 729109150 in words is "seven hundred twenty-nine million, one hundred nine thousand, one hundred fifty".