1768051872 has 72 divisors (see below), whose sum is σ = 5058877824. Its totient is φ = 585719424.

The previous prime is 1768051871. The next prime is 1768051891. The reversal of 1768051872 is 2781508671.

It is a happy number.

1768051872 is a `hidden beast` number, since 1 + 7 + 68 + 0 + 518 + 72 = 666.

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

It is a super-4 number, since 4×1768051872⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1768051871) 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, 28113 + ... + 65775.

It is an arithmetic number, because the mean of its divisors is an integer number (70262192).

Almost surely, 2^1768051872 is an apocalyptic number.

1768051872 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 1768051872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529438912).

1768051872 is an abundant number, since it is smaller than the sum of its proper divisors (3290825952).

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

1768051872 is a wasteful number, since it uses less digits than its factorization.

1768051872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37842 (or 37831 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1768051872 is about 42048.2089035906. The cubic root of 1768051872 is about 1209.2005446972.

The spelling of 1768051872 in words is "one billion, seven hundred sixty-eight million, fifty-one thousand, eight hundred seventy-two".