729975600 has 270 divisors, whose sum is σ = 2629976388. Its totient is φ = 187488000.

The previous prime is 729975583. The next prime is 729975619. The reversal of 729975600 is 6579927.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3459495 + ... + 3459705.

Almost surely, 2^729975600 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 729975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314988194).

729975600 is an abundant number, since it is smaller than the sum of its proper divisors (1900000788).

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

729975600 is a wasteful number, since it uses less digits than its factorization.

729975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 729975600 is about 27018.0606261811. The cubic root of 729975600 is about 900.4013025174.

The spelling of 729975600 in words is "seven hundred twenty-nine million, nine hundred seventy-five thousand, six hundred".