729248 has 24 divisors (see below), whose sum is σ = 1547028. Its totient is φ = 336384.

The previous prime is 729217. The next prime is 729257. The reversal of 729248 is 842927.

It can be written as a sum of positive squares in 2 ways, for example, as 559504 + 169744 = 748^2 + 412^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461 + ... + 1292.

2⁷²⁹²⁴⁸ is an apocalyptic number.

It is an amenable number.

729248 is an abundant number, since it is smaller than the sum of its proper divisors (817780).

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

729248 is a wasteful number, since it uses less digits than its factorization.

729248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 729248 is about 853.9601864256. The cubic root of 729248 is about 90.0102046042.

It can be divided in two parts, 72 and 9248, that multiplied together give a square (665856 = 816²).

The spelling of 729248 in words is "seven hundred twenty-nine thousand, two hundred forty-eight".