264072107 has 8 divisors (see below), whose sum is σ = 284625936. Its totient is φ = 243552672.

The previous prime is 264072097. The next prime is 264072119. The reversal of 264072107 is 701270462.

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 264072107 - 2⁴ = 264072091 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 264072107.

It is not an unprimeable number, because it can be changed into a prime (264072007) 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, 8648 + ... + 24554.

It is an arithmetic number, because the mean of its divisors is an integer number (35578242).

Almost surely, 2^264072107 is an apocalyptic number.

264072107 is a deficient number, since it is larger than the sum of its proper divisors (20553829).

264072107 is a wasteful number, since it uses less digits than its factorization.

264072107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17197.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 264072107 is about 16250.2955973115. The cubic root of 264072107 is about 641.5652661567.

It can be divided in two parts, 2640 and 72107, that added together give a palindrome (74747).

The spelling of 264072107 in words is "two hundred sixty-four million, seventy-two thousand, one hundred seven".