723712 has 36 divisors (see below), whose sum is σ = 1582056. Its totient is φ = 327680.

The previous prime is 723661. The next prime is 723721. The reversal of 723712 is 217327.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

723712 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 3 ways as a sum of consecutive naturals, for example, 2688 + ... + 2944.

It is an arithmetic number, because the mean of its divisors is an integer number (43946).

2⁷²³⁷¹² 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 723712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791028).

723712 is an abundant number, since it is smaller than the sum of its proper divisors (858344).

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

723712 is a wasteful number, since it uses less digits than its factorization.

723712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its digits is 588, while the sum is 22.

The square root of 723712 is about 850.7126424357. The cubic root of 723712 is about 89.7818585284.

723712 divided by its sum of digits (22) gives a triangular number (32896 = T₂₅₆).

The spelling of 723712 in words is "seven hundred twenty-three thousand, seven hundred twelve", and thus it is an iban number.