1742189472 has 72 divisors (see below), whose sum is σ = 5137868736. Its totient is φ = 580727232.

The previous prime is 1742189459. The next prime is 1742189473. The reversal of 1742189472 is 2749812471.

1742189472 is a `hidden beast` number, since 174 + 2 + 1 + 8 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1742189473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104248 + ... + 119799.

It is an arithmetic number, because the mean of its divisors is an integer number (71359288).

Almost surely, 2^1742189472 is an apocalyptic number.

1742189472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1742189472 is an abundant number, since it is smaller than the sum of its proper divisors (3395679264).

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

1742189472 is an equidigital number, since it uses as much as digits as its factorization.

1742189472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224072 (or 224052 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1742189472 is about 41739.5432653497. The cubic root of 1742189472 is about 1203.2756502933.

The spelling of 1742189472 in words is "one billion, seven hundred forty-two million, one hundred eighty-nine thousand, four hundred seventy-two".