729652 has 48 divisors (see below), whose sum is σ = 1677312. Its totient is φ = 269280.

The previous prime is 729649. The next prime is 729661. The reversal of 729652 is 256927.

It is a super-2 number, since 2×729652² = 1064784082208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7033 + ... + 7135.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2⁷²⁹⁶⁵² 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 729652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656).

729652 is an abundant number, since it is smaller than the sum of its proper divisors (947660).

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

729652 is a wasteful number, since it uses less digits than its factorization.

729652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 729652 is about 854.1966986590. The cubic root of 729652 is about 90.0268232806.

The spelling of 729652 in words is "seven hundred twenty-nine thousand, six hundred fifty-two".