1764945072 has 160 divisors (see below), whose sum is σ = 5705349120. Its totient is φ = 517536000.

The previous prime is 1764945047. The next prime is 1764945121. The reversal of 1764945072 is 2705494671.

It is a super-2 number, since 2×1764945072² = 6230062214354170368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141322 + ... + 153302.

It is an arithmetic number, because the mean of its divisors is an integer number (35658432).

Almost surely, 2^1764945072 is an apocalyptic number.

1764945072 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 1764945072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852674560).

1764945072 is an abundant number, since it is smaller than the sum of its proper divisors (3940404048).

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

1764945072 is a wasteful number, since it uses less digits than its factorization.

1764945072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1764945072 is about 42011.2493506204. The cubic root of 1764945072 is about 1208.4918651051.

The spelling of 1764945072 in words is "one billion, seven hundred sixty-four million, nine hundred forty-five thousand, seventy-two".