720049200 has 240 divisors, whose sum is σ = 2514068256. Its totient is φ = 175104000.

The previous prime is 720049171. The next prime is 720049217. The reversal of 720049200 is 2940027.

It is a tau number, because it is divible by the number of its divisors (240).

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

720049200 is a modest number, since divided by 49200 gives 7200 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575372 + ... + 1575828.

Almost surely, 2^720049200 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 720049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257034128).

720049200 is an abundant number, since it is smaller than the sum of its proper divisors (1794019056).

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

720049200 is a wasteful number, since it uses less digits than its factorization.

720049200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 720049200 is about 26833.7325022070. The cubic root of 720049200 is about 896.3013641347.

Adding to 720049200 its reverse (2940027), we get a palindrome (722989227).

The spelling of 720049200 in words is "seven hundred twenty million, forty-nine thousand, two hundred".