1728291072 has 144 divisors (see below), whose sum is σ = 4903637760. Its totient is φ = 538822656.

The previous prime is 1728291067. The next prime is 1728291073. The reversal of 1728291072 is 2701928271.

It is a self number, because there is not a number n which added to its sum of digits gives 1728291072.

It is not an unprimeable number, because it can be changed into a prime (1728291073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210423 + ... + 1211849.

It is an arithmetic number, because the mean of its divisors is an integer number (34053040).

Almost surely, 2^1728291072 is an apocalyptic number.

1728291072 is a gapful number since it is divisible by the number (12) 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 1728291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451818880).

1728291072 is an abundant number, since it is smaller than the sum of its proper divisors (3175346688).

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

1728291072 is a wasteful number, since it uses less digits than its factorization.

1728291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 1728291072 is about 41572.7202862646. The cubic root of 1728291072 is about 1200.0673739950.

The spelling of 1728291072 in words is "one billion, seven hundred twenty-eight million, two hundred ninety-one thousand, seventy-two".