1742922720 has 432 divisors, whose sum is σ = 7476749280. Its totient is φ = 361912320.

The previous prime is 1742922691. The next prime is 1742922733. The reversal of 1742922720 is 272292471.

1742922720 is a `hidden beast` number, since 1 + 7 + 429 + 227 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1218966 + ... + 1220394.

It is an arithmetic number, because the mean of its divisors is an integer number (17307290).

Almost surely, 2^1742922720 is an apocalyptic number.

1742922720 is a gapful number since it is divisible by the number (10) 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 1742922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738374640).

1742922720 is an abundant number, since it is smaller than the sum of its proper divisors (5733826560).

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

1742922720 is a wasteful number, since it uses less digits than its factorization.

1742922720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1742922720 is about 41748.3259544619. The cubic root of 1742922720 is about 1203.4444370847. Note that the first 4 decimals are identical.

The spelling of 1742922720 in words is "one billion, seven hundred forty-two million, nine hundred twenty-two thousand, seven hundred twenty".