724272000 has 256 divisors, whose sum is σ = 2444083200. Its totient is φ = 189696000.

The previous prime is 724271987. The next prime is 724272007. The reversal of 724272000 is 272427.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724272007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791905 + ... + 3792095.

It is an arithmetic number, because the mean of its divisors is an integer number (9547200).

Almost surely, 2^724272000 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 724272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222041600).

724272000 is an abundant number, since it is smaller than the sum of its proper divisors (1719811200).

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

724272000 is a wasteful number, since it uses less digits than its factorization.

724272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 724272000 is about 26912.3020197084. The cubic root of 724272000 is about 898.0500994696.

The spelling of 724272000 in words is "seven hundred twenty-four million, two hundred seventy-two thousand".