732816 has 60 divisors (see below), whose sum is σ = 2347072. Its totient is φ = 209088.

The previous prime is 732799. The next prime is 732817. The reversal of 732816 is 618237.

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 a self number, because there is not a number n which added to its sum of digits gives 732816.

It is not an unprimeable number, because it can be changed into a prime (732817) by changing a digit.

732816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645 + ... + 1371.

2⁷³²⁸¹⁶ 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 732816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173536).

732816 is an abundant number, since it is smaller than the sum of its proper divisors (1614256).

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

732816 is a wasteful number, since it uses less digits than its factorization.

732816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 739 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 732816 is about 856.0467276966. The cubic root of 732816 is about 90.1567638241.

It can be divided in two parts, 7 and 32816, that added together give a palindrome (32823).

The spelling of 732816 in words is "seven hundred thirty-two thousand, eight hundred sixteen".