723825216 has 189 divisors, whose sum is σ = 2227398771. Its totient is φ = 224702208.

The previous prime is 723825199. The next prime is 723825217. The reversal of 723825216 is 612528327.

The square root of 723825216 is 26904.

It is a perfect power (a square), and thus also a powerful number.

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

It is not an unprimeable number, because it can be changed into a prime (723825217) 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 26 ways as a sum of consecutive naturals, for example, 12268195 + ... + 12268253.

Almost surely, 2^723825216 is an apocalyptic number.

723825216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

723825216 is the 26904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 723825216

723825216 is an abundant number, since it is smaller than the sum of its proper divisors (1503573555).

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

723825216 is a wasteful number, since it uses less digits than its factorization.

723825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 83 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 723825216 is about 897.8654004672.

Multiplying 723825216 by its sum of digits (36), we get a square (26057707776 = 161424²).

723825216 divided by its sum of digits (36) gives a square (20106256 = 4484²).

The spelling of 723825216 in words is "seven hundred twenty-three million, eight hundred twenty-five thousand, two hundred sixteen".