1728094720 has 160 divisors (see below), whose sum is σ = 4569618240. Its totient is φ = 621527040.

The previous prime is 1728094661. The next prime is 1728094747. The reversal of 1728094720 is 274908271.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1728094720² = 5972622722583756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3069159 + ... + 3069721.

It is an arithmetic number, because the mean of its divisors is an integer number (28560114).

Almost surely, 2^1728094720 is an apocalyptic number.

1728094720 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 1728094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284809120).

1728094720 is an abundant number, since it is smaller than the sum of its proper divisors (2841523520).

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

1728094720 is a wasteful number, since it uses less digits than its factorization.

1728094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 1728094720 is about 41570.3586705720. The cubic root of 1728094720 is about 1200.0219255253.

The spelling of 1728094720 in words is "one billion, seven hundred twenty-eight million, ninety-four thousand, seven hundred twenty".