729981720 has 384 divisors, whose sum is σ = 2724321600. Its totient is φ = 174680064.

The previous prime is 729981673. The next prime is 729981731. The reversal of 729981720 is 27189927.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6697026 + ... + 6697134.

Almost surely, 2^729981720 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 729981720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362160800).

729981720 is an abundant number, since it is smaller than the sum of its proper divisors (1994339880).

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

729981720 is a wasteful number, since it uses less digits than its factorization.

729981720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 729981720 is about 27018.1738835177. The cubic root of 729981720 is about 900.4038187844.

The spelling of 729981720 in words is "seven hundred twenty-nine million, nine hundred eighty-one thousand, seven hundred twenty".