1072289268 has 36 divisors (see below), whose sum is σ = 2803977540. Its totient is φ = 345104256.

The previous prime is 1072289249. The next prime is 1072289291. The reversal of 1072289268 is 8629822701.

1072289268 is a `hidden beast` number, since 107 + 2 + 289 + 268 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 460617444 + 611671824 = 21462^2 + 24732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1072289268² = 2299608548535951648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512505 + ... + 514592.

It is an arithmetic number, because the mean of its divisors is an integer number (77888265).

Almost surely, 2^1072289268 is an apocalyptic number.

1072289268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1072289268 is an abundant number, since it is smaller than the sum of its proper divisors (1731688272).

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

1072289268 is a wasteful number, since it uses less digits than its factorization.

1072289268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027136 (or 1027131 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1072289268 is about 32745.8282533821. The cubic root of 1072289268 is about 1023.5380365061.

The spelling of 1072289268 in words is "one billion, seventy-two million, two hundred eighty-nine thousand, two hundred sixty-eight".