1722140672 has 108 divisors (see below), whose sum is σ = 4036445595. Its totient is φ = 732426240.

The previous prime is 1722140653. The next prime is 1722140683. The reversal of 1722140672 is 2760412271.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 861070336 + 861070336 = 29344^2 + 29344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=29344.

It is a super-3 number, since 3×1722140672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 8 ways as a sum of consecutive naturals, for example, 13146047 + ... + 13146177.

Almost surely, 2^1722140672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1722140672

1722140672 is an abundant number, since it is smaller than the sum of its proper divisors (2314304923).

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

1722140672 is an frugal number, since it uses more digits than its factorization.

1722140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 1722140672 is about 41498.6827742761. The cubic root of 1722140672 is about 1198.6421381630.

Multiplying 1722140672 by its sum of digits (32), we get a square (55108501504 = 234752²).

1722140672 divided by its sum of digits (32) gives a square (53816896 = 7336²).

The spelling of 1722140672 in words is "one billion, seven hundred twenty-two million, one hundred forty thousand, six hundred seventy-two".