1072071677569 has 8 divisors (see below), whose sum is σ = 1137129692040. Its totient is φ = 1007235326976.

The previous prime is 1072071677561. The next prime is 1072071677581. The reversal of 1072071677569 is 9657761702701.

It can be written as a sum of positive squares in 4 ways, for example, as 4852515600 + 1067219161969 = 69660^2 + 1033063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1072071677569 - 2³ = 1072071677561 is a prime.

It is a super-2 number, since 2×1072071677569² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072071677561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55406004 + ... + 55425349.

It is an arithmetic number, because the mean of its divisors is an integer number (142141211505).

Almost surely, 2^{1072071677569} is an apocalyptic number.

It is an amenable number.

1072071677569 is a deficient number, since it is larger than the sum of its proper divisors (65058014471).

1072071677569 is a wasteful number, since it uses less digits than its factorization.

1072071677569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110831939.

The product of its (nonzero) digits is 7779240, while the sum is 58.

The spelling of 1072071677569 in words is "one trillion, seventy-two billion, seventy-one million, six hundred seventy-seven thousand, five hundred sixty-nine".