1072735107 has 8 divisors (see below), whose sum is σ = 1430466384. Its totient is φ = 715080288.

The previous prime is 1072735093. The next prime is 1072735123. The reversal of 1072735107 is 7015372701.

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

It is not a de Polignac number, because 1072735107 - 2⁷ = 1072734979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1072735127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38053 + ... + 59945.

It is an arithmetic number, because the mean of its divisors is an integer number (178808298).

Almost surely, 2^1072735107 is an apocalyptic number.

1072735107 is a deficient number, since it is larger than the sum of its proper divisors (357731277).

1072735107 is a wasteful number, since it uses less digits than its factorization.

1072735107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38229.

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 1072735107 is about 32752.6351153613. The cubic root of 1072735107 is about 1023.6798732156.

The spelling of 1072735107 in words is "one billion, seventy-two million, seven hundred thirty-five thousand, one hundred seven".