722400 has 144 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 161280.

The previous prime is 722389. The next prime is 722411. The reversal of 722400 is 4227.

It is an interprime number because it is at equal distance from previous prime (722389) and next prime (722411).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 722400.

It is a congruent number.

It is an unprimeable number.

722400 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 23 ways as a sum of consecutive naturals, for example, 16779 + ... + 16821.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

2⁷²²⁴⁰⁰ is an apocalyptic number.

722400 is a gapful number since it is divisible by the number (70) 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 722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

722400 is an abundant number, since it is smaller than the sum of its proper divisors (2027424).

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

722400 is a wasteful number, since it uses less digits than its factorization.

722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 722400 is about 849.9411744350. The cubic root of 722400 is about 89.7275712558.

Adding to 722400 its reverse (4227), we get a palindrome (726627).

The spelling of 722400 in words is "seven hundred twenty-two thousand, four hundred", and thus it is an iban number.