1730725920 has 768 divisors, whose sum is σ = 7791759360. Its totient is φ = 351267840.

The previous prime is 1730725859. The next prime is 1730725937. The reversal of 1730725920 is 295270371.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40249419 + ... + 40249461.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2^1730725920 is an apocalyptic number.

1730725920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1730725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895879680).

1730725920 is an abundant number, since it is smaller than the sum of its proper divisors (6061033440).

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

1730725920 is a wasteful number, since it uses less digits than its factorization.

1730725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1730725920 is about 41601.9941829716. The cubic root of 1730725920 is about 1200.6306684896.

The spelling of 1730725920 in words is "one billion, seven hundred thirty million, seven hundred twenty-five thousand, nine hundred twenty".