1072564441 has 8 divisors (see below), whose sum is σ = 1166285120. Its totient is φ = 980446032.

The previous prime is 1072564397. The next prime is 1072564453. The reversal of 1072564441 is 1444652701.

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 1072564441 - 2⁹ = 1072563929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1072564397 and 1072564406.

It is not an unprimeable number, because it can be changed into a prime (1072564541) 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, 399171 + ... + 401848.

It is an arithmetic number, because the mean of its divisors is an integer number (145785640).

Almost surely, 2^1072564441 is an apocalyptic number.

It is an amenable number.

1072564441 is a deficient number, since it is larger than the sum of its proper divisors (93720679).

1072564441 is a wasteful number, since it uses less digits than its factorization.

1072564441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801135.

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 1072564441 is about 32750.0296335744. The cubic root of 1072564441 is about 1023.6255831385.

The spelling of 1072564441 in words is "one billion, seventy-two million, five hundred sixty-four thousand, four hundred forty-one".