723772224 has 168 divisors, whose sum is σ = 2404384320. Its totient is φ = 203876352.

The previous prime is 723772199. The next prime is 723772237. The reversal of 723772224 is 422277327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293107 + ... + 295565.

Almost surely, 2^723772224 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 723772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202192160).

723772224 is an abundant number, since it is smaller than the sum of its proper divisors (1680612096).

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

723772224 is a wasteful number, since it uses less digits than its factorization.

723772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2544 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 723772224 is about 26903.0151470054. The cubic root of 723772224 is about 897.8434887113.

The spelling of 723772224 in words is "seven hundred twenty-three million, seven hundred seventy-two thousand, two hundred twenty-four".