723825180 has 192 divisors, whose sum is σ = 2531128320. Its totient is φ = 170387712.

The previous prime is 723825127. The next prime is 723825199. The reversal of 723825180 is 81528327.

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

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 63 ways as a sum of consecutive naturals, for example, 159219 + ... + 163701.

It is an arithmetic number, because the mean of its divisors is an integer number (13182960).

Almost surely, 2^723825180 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 723825180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265564160).

723825180 is an abundant number, since it is smaller than the sum of its proper divisors (1807303140).

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

723825180 is a wasteful number, since it uses less digits than its factorization.

723825180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 723825180 is about 26903.9993309545. Note that the first 3 decimals coincide. The cubic root of 723825180 is about 897.8653855819.

Adding to 723825180 its sum of digits (36), we get a square (723825216 = 26904²).

The spelling of 723825180 in words is "seven hundred twenty-three million, eight hundred twenty-five thousand, one hundred eighty".