1072107366 has 32 divisors (see below), whose sum is σ = 2343212928. Its totient is φ = 324315840.

The previous prime is 1072107353. The next prime is 1072107367. The reversal of 1072107366 is 6637012701.

It is a super-3 number, since 3×1072107366³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072107367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24906 + ... + 52578.

It is an arithmetic number, because the mean of its divisors is an integer number (73225404).

Almost surely, 2^1072107366 is an apocalyptic number.

1072107366 is an abundant number, since it is smaller than the sum of its proper divisors (1271105562).

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

1072107366 is a wasteful number, since it uses less digits than its factorization.

1072107366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28276.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1072107366 is about 32743.0506520086. The cubic root of 1072107366 is about 1023.4801559352.

The spelling of 1072107366 in words is "one billion, seventy-two million, one hundred seven thousand, three hundred sixty-six".