729675 has 48 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 364320.

The previous prime is 729671. The next prime is 729679. The reversal of 729675 is 576927.

729675 = T₂₂₉ + T₂₃₀ + ... + T₂₅₃.

It is an interprime number because it is at equal distance from previous prime (729671) and next prime (729679).

It is not a de Polignac number, because 729675 - 2² = 729671 is a prime.

729675 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (729671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15502 + ... + 15548.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2⁷²⁹⁶⁷⁵ is an apocalyptic number.

729675 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

729675 is a deficient number, since it is larger than the sum of its proper divisors (698805).

729675 is a wasteful number, since it uses less digits than its factorization.

729675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 729675 is about 854.2101614942. The cubic root of 729675 is about 90.0277692088.

The spelling of 729675 in words is "seven hundred twenty-nine thousand, six hundred seventy-five".