1072664001 has 12 divisors (see below), whose sum is σ = 1549921360. Its totient is φ = 714870360.

The previous prime is 1072663997. The next prime is 1072664023. The reversal of 1072664001 is 1004662701.

1072664001 is a `hidden beast` number, since 10 + 7 + 2 + 6 + 640 + 0 + 1 = 666.

It is not a de Polignac number, because 1072664001 - 2² = 1072663997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072664051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11046 + ... + 47616.

Almost surely, 2^1072664001 is an apocalyptic number.

It is an amenable number.

1072664001 is a deficient number, since it is larger than the sum of its proper divisors (477257359).

1072664001 is a wasteful number, since it uses less digits than its factorization.

1072664001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39836 (or 39833 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1072664001 is about 32751.5495969275. The cubic root of 1072664001 is about 1023.6572545874.

The spelling of 1072664001 in words is "one billion, seventy-two million, six hundred sixty-four thousand, one".