723820032 has 240 divisors, whose sum is σ = 2310195888. Its totient is φ = 216760320.

The previous prime is 723820003. The next prime is 723820049. The reversal of 723820032 is 230028327.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 723819978 and 723820005.

It is a congruent number.

It is an unprimeable number.

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, 2575732 + ... + 2576012.

Almost surely, 2^723820032 is an apocalyptic number.

723820032 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 723820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155097944).

723820032 is an abundant number, since it is smaller than the sum of its proper divisors (1586375856).

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

723820032 is a wasteful number, since it uses less digits than its factorization.

723820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 723820032 is about 26903.9036572762. The cubic root of 723820032 is about 897.8632569731.

Adding to 723820032 its reverse (230028327), we get a palindrome (953848359).

The spelling of 723820032 in words is "seven hundred twenty-three million, eight hundred twenty thousand, thirty-two".