1745538672 has 60 divisors (see below), whose sum is σ = 4578180936. Its totient is φ = 573091200.

The previous prime is 1745538667. The next prime is 1745538703. The reversal of 1745538672 is 2768355471.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211422 + ... + 219522.

Almost surely, 2^1745538672 is an apocalyptic number.

1745538672 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 1745538672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289090468).

1745538672 is an abundant number, since it is smaller than the sum of its proper divisors (2832642264).

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

1745538672 is an equidigital number, since it uses as much as digits as its factorization.

1745538672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8173 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 1745538672 is about 41779.6442301751. The cubic root of 1745538672 is about 1204.0462192019.

The spelling of 1745538672 in words is "one billion, seven hundred forty-five million, five hundred thirty-eight thousand, six hundred seventy-two".