1783452672 has 132 divisors (see below), whose sum is σ = 5328054420. Its totient is φ = 573898752.

The previous prime is 1783452641. The next prime is 1783452709. The reversal of 1783452672 is 2762543871.

It can be written as a sum of positive squares in 2 ways, for example, as 410305536 + 1373147136 = 20256^2 + 37056^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 263928 + ... + 270600.

Almost surely, 2^1783452672 is an apocalyptic number.

1783452672 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 1783452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664027210).

1783452672 is an abundant number, since it is smaller than the sum of its proper divisors (3544601748).

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

1783452672 is a wasteful number, since it uses less digits than its factorization.

1783452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6707 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1783452672 is about 42230.9444838734. The cubic root of 1783452672 is about 1212.7013553294.

The spelling of 1783452672 in words is "one billion, seven hundred eighty-three million, four hundred fifty-two thousand, six hundred seventy-two".