723672 has 72 divisors (see below), whose sum is σ = 2156700. Its totient is φ = 218592.

The previous prime is 723661. The next prime is 723721. The reversal of 723672 is 276327.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 723672.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31453 + ... + 31475.

2⁷²³⁶⁷² is an apocalyptic number.

723672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 723672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078350).

723672 is an abundant number, since it is smaller than the sum of its proper divisors (1433028).

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

723672 is a wasteful number, since it uses less digits than its factorization.

723672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 723672 is about 850.6891324097. The cubic root of 723672 is about 89.7802043988.

Adding to 723672 its reverse (276327), we get a palindrome (999999).

The spelling of 723672 in words is "seven hundred twenty-three thousand, six hundred seventy-two".