1726312872 has 128 divisors (see below), whose sum is σ = 4833561600. Its totient is φ = 511180800.

The previous prime is 1726312859. The next prime is 1726312877. The reversal of 1726312872 is 2782136271.

It is a super-2 number, since 2×1726312872² = 5960312264065776768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1726312872.

It is not an unprimeable number, because it can be changed into a prime (1726312877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516904 + ... + 520232.

It is an arithmetic number, because the mean of its divisors is an integer number (37762200).

Almost surely, 2^1726312872 is an apocalyptic number.

1726312872 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 1726312872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416780800).

1726312872 is an abundant number, since it is smaller than the sum of its proper divisors (3107248728).

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

1726312872 is a wasteful number, since it uses less digits than its factorization.

1726312872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3423 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 1726312872 is about 41548.9214300444. The cubic root of 1726312872 is about 1199.6093339416.

It can be divided in two parts, 17263 and 12872, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 1726312872 in words is "one billion, seven hundred twenty-six million, three hundred twelve thousand, eight hundred seventy-two".