723240000 has 630 divisors, whose sum is σ = 3086897814. Its totient is φ = 161280000.

The previous prime is 723239989. The next prime is 723240031. The reversal of 723240000 is 42327.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 484352064 + 238887936 = 22008^2 + 15456^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17639980 + ... + 17640020.

Almost surely, 2^723240000 is an apocalyptic number.

723240000 is a gapful number since it is divisible by the number (70) 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 723240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543448907).

723240000 is an abundant number, since it is smaller than the sum of its proper divisors (2363657814).

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

723240000 is a wasteful number, since it uses less digits than its factorization.

723240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 723240000 is about 26893.1217972180. The cubic root of 723240000 is about 897.6233591298.

Adding to 723240000 its reverse (42327), we get a palindrome (723282327).

The spelling of 723240000 in words is "seven hundred twenty-three million, two hundred forty thousand".