1072536168 has 128 divisors (see below), whose sum is σ = 3162816000. Its totient is φ = 299531520.

The previous prime is 1072536151. The next prime is 1072536181. The reversal of 1072536168 is 8616352701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182703 + ... + 188481.

It is an arithmetic number, because the mean of its divisors is an integer number (24709500).

Almost surely, 2^1072536168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072536168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581408000).

1072536168 is an abundant number, since it is smaller than the sum of its proper divisors (2090279832).

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

1072536168 is a wasteful number, since it uses less digits than its factorization.

1072536168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1072536168 is about 32749.5979822654. The cubic root of 1072536168 is about 1023.6165887386.

Adding to 1072536168 its reverse (8616352701), we get a palindrome (9688888869).

The spelling of 1072536168 in words is "one billion, seventy-two million, five hundred thirty-six thousand, one hundred sixty-eight".