1007072689 has 8 divisors (see below), whose sum is σ = 1153429760. Its totient is φ = 861338016.

The previous prime is 1007072621. The next prime is 1007072701. The reversal of 1007072689 is 9862707001.

1007072689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a de Polignac number, because none of the positive numbers 2^k-1007072689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007072609) 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, 152124 + ... + 158605.

It is an arithmetic number, because the mean of its divisors is an integer number (144178720).

Almost surely, 2^1007072689 is an apocalyptic number.

It is an amenable number.

1007072689 is a deficient number, since it is larger than the sum of its proper divisors (146357071).

1007072689 is an equidigital number, since it uses as much as digits as its factorization.

1007072689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311199.

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 1007072689 is about 31734.4085969788. The cubic root of 1007072689 is about 1002.3520266336.

The spelling of 1007072689 in words is "one billion, seven million, seventy-two thousand, six hundred eighty-nine".