1728715872 has 144 divisors (see below), whose sum is σ = 4958392320. Its totient is φ = 527095296.

The previous prime is 1728715867. The next prime is 1728715889. The reversal of 1728715872 is 2785178271.

It is a happy number.

It is a super-2 number, since 2×1728715872² = 5976917132209440768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060029 + ... + 2060867.

It is an arithmetic number, because the mean of its divisors is an integer number (34433280).

Almost surely, 2^1728715872 is an apocalyptic number.

1728715872 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 1728715872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479196160).

1728715872 is an abundant number, since it is smaller than the sum of its proper divisors (3229676448).

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

1728715872 is a wasteful number, since it uses less digits than its factorization.

1728715872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 984 counting only the distinct ones).

The product of its digits is 439040, while the sum is 48.

The square root of 1728715872 is about 41577.8290919572. The cubic root of 1728715872 is about 1200.1656882329.

The spelling of 1728715872 in words is "one billion, seven hundred twenty-eight million, seven hundred fifteen thousand, eight hundred seventy-two".