722124144 has 240 divisors, whose sum is σ = 2403221184. Its totient is φ = 198144000.

The previous prime is 722124133. The next prime is 722124149. The reversal of 722124144 is 441421227.

722124144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×722124144³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722124149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4174042 + ... + 4174214.

Almost surely, 2^722124144 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 722124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201610592).

722124144 is an abundant number, since it is smaller than the sum of its proper divisors (1681097040).

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

722124144 is a wasteful number, since it uses less digits than its factorization.

722124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 722124144 is about 26872.3676664339. The cubic root of 722124144 is about 897.1614866434.

The spelling of 722124144 in words is "seven hundred twenty-two million, one hundred twenty-four thousand, one hundred forty-four".