729025 has 18 divisors (see below), whose sum is σ = 997766. Its totient is φ = 528000.

The previous prime is 729023. The next prime is 729037. The reversal of 729025 is 520927.

It can be written as a sum of positive squares in 3 ways, for example, as 101761 + 627264 = 319^2 + 792^2 .

It is not a de Polignac number, because 729025 - 2¹ = 729023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (729023) 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 17 ways as a sum of consecutive naturals, for example, 2905 + ... + 3145.

2⁷²⁹⁰²⁵ is an apocalyptic number.

It is an amenable number.

729025 is a deficient number, since it is larger than the sum of its proper divisors (268741).

729025 is a wasteful number, since it uses less digits than its factorization.

729025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 729025 is about 853.8296082943. The cubic root of 729025 is about 90.0010287948.

Subtracting from 729025 its sum of digits (25), we obtain a cube (729000 = 90³).

729025 divided by its sum of digits (25) gives a triangular number (29161 = T₂₄₁).

The spelling of 729025 in words is "seven hundred twenty-nine thousand, twenty-five".