723996 has 108 divisors (see below), whose sum is σ = 2398032. Its totient is φ = 179712.

The previous prime is 723977. The next prime is 723997. The reversal of 723996 is 699327.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 7⁴ + 2¹⁷ + 9⁵ + 3³ + 9⁶ + 6 .

Its product of digits (20412) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 723996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723997) by changing a digit.

723996 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 35 ways as a sum of consecutive naturals, for example, 42580 + ... + 42596.

It is an arithmetic number, because the mean of its divisors is an integer number (22204).

2⁷²³⁹⁹⁶ 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 723996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199016).

723996 is an abundant number, since it is smaller than the sum of its proper divisors (1674036).

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

723996 is a wasteful number, since it uses less digits than its factorization.

723996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 723996 is about 850.8795449416. The cubic root of 723996 is about 89.7936010969.

The spelling of 723996 in words is "seven hundred twenty-three thousand, nine hundred ninety-six".