732648 has 64 divisors (see below), whose sum is σ = 2160000. Its totient is φ = 206976.

The previous prime is 732631. The next prime is 732653. The reversal of 732648 is 846237.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is an unprimeable number.

732648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 8188 + ... + 8276.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2⁷³²⁶⁴⁸ 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 732648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080000).

732648 is an abundant number, since it is smaller than the sum of its proper divisors (1427352).

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

732648 is a wasteful number, since it uses less digits than its factorization.

732648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 732648 is about 855.9485965874. The cubic root of 732648 is about 90.1498737389.

The spelling of 732648 in words is "seven hundred thirty-two thousand, six hundred forty-eight".