722592 has 72 divisors (see below), whose sum is σ = 2224404. Its totient is φ = 221184.

The previous prime is 722581. The next prime is 722599. The reversal of 722592 is 295227.

It is a happy number.

722592 is a `hidden beast` number, since 72 + 2 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 76176 = 804^2 + 276^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 722592.

It is not an unprimeable number, because it can be changed into a prime (722599) by changing a digit.

722592 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3648 + ... + 3840.

2⁷²²⁵⁹² is an apocalyptic number.

722592 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 722592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112202).

722592 is an abundant number, since it is smaller than the sum of its proper divisors (1501812).

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

722592 is a wasteful number, since it uses less digits than its factorization.

722592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 722592 is about 850.0541159244. The cubic root of 722592 is about 89.7355198381.

It can be divided in two parts, 72 and 2592, that multiplied together give a square (186624 = 432²).

The spelling of 722592 in words is "seven hundred twenty-two thousand, five hundred ninety-two".