723929472 has 192 divisors, whose sum is σ = 2405894400. Its totient is φ = 204659712.

The previous prime is 723929461. The next prime is 723929473. The reversal of 723929472 is 274929327.

It is a tau number, because it is divible by the number of its divisors (192).

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 (723929473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862429 + ... + 863267.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^723929472 is an apocalyptic number.

723929472 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 723929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

723929472 is an abundant number, since it is smaller than the sum of its proper divisors (1681964928).

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

723929472 is a wasteful number, since it uses less digits than its factorization.

723929472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 958 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 723929472 is about 26905.9374859900. The cubic root of 723929472 is about 897.9085063438.

The spelling of 723929472 in words is "seven hundred twenty-three million, nine hundred twenty-nine thousand, four hundred seventy-two".