729638 has 32 divisors (see below), whose sum is σ = 1424640. Its totient is φ = 272160.

The previous prime is 729637. The next prime is 729643. The reversal of 729638 is 836927.

729638 = 92² + 93² + ... + 143².

729638 is nontrivially palindromic in base 12.

It is a super-2 number, since 2×729638² = 1064743222088, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (18144) is a multiple of the sum of its prime divisors (252).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 729598 and 729607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3353 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (44520).

2⁷²⁹⁶³⁸ is an apocalyptic number.

729638 is a deficient number, since it is larger than the sum of its proper divisors (695002).

729638 is a wasteful number, since it uses less digits than its factorization.

729638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its digits is 18144, while the sum is 35.

The square root of 729638 is about 854.1885037859. The cubic root of 729638 is about 90.0262474885.

The spelling of 729638 in words is "seven hundred twenty-nine thousand, six hundred thirty-eight".