1072689345 has 64 divisors (see below), whose sum is σ = 2347107840. Its totient is φ = 452646144.

The previous prime is 1072689329. The next prime is 1072689367. The reversal of 1072689345 is 5439862701.

1072689345 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1072689345 - 2⁴ = 1072689329 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

1072689345 is strictly pandigital in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1072689345.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31374 + ... + 55943.

It is an arithmetic number, because the mean of its divisors is an integer number (36673560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1072689345 = 2145378690, but 3⋅1072689345 = 3218068035 is not.

Almost surely, 2^1072689345 is an apocalyptic number.

1072689345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072689345 is an abundant number, since it is smaller than the sum of its proper divisors (1274418495).

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

1072689345 is a wasteful number, since it uses less digits than its factorization.

1072689345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87351 (or 87345 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1072689345 is about 32751.9365076326. The cubic root of 1072689345 is about 1023.6653165606.

The spelling of 1072689345 in words is "one billion, seventy-two million, six hundred eighty-nine thousand, three hundred forty-five".