729216000 has 352 divisors, whose sum is σ = 2707935360. Its totient is φ = 193536000.

The previous prime is 729215999. The next prime is 729216013. The reversal of 729216000 is 612927.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455895 + ... + 3456105.

Almost surely, 2^729216000 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 729216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353967680).

729216000 is an abundant number, since it is smaller than the sum of its proper divisors (1978719360).

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

729216000 is a wasteful number, since it uses less digits than its factorization.

729216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 729216000 is about 27003.9997037476. Note that the first 3 decimals coincide. The cubic root of 729216000 is about 900.0888801112.

Adding to 729216000 its reverse (612927), we get a palindrome (729828927).

It can be divided in two parts, 729 and 216000, that multiplied together give a cube (157464000 = 540³).

The spelling of 729216000 in words is "seven hundred twenty-nine million, two hundred sixteen thousand".