4072564093 has 8 divisors (see below), whose sum is σ = 4386526200. Its totient is φ = 3758700288.

The previous prime is 4072564091. The next prime is 4072564103. The reversal of 4072564093 is 3904652704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 633679929 + 3438884164 = 25173^2 + 58642^2 .

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 4072564093 - 2¹ = 4072564091 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072564091) 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, 77073 + ... + 118681.

It is an arithmetic number, because the mean of its divisors is an integer number (548315775).

Almost surely, 2^4072564093 is an apocalyptic number.

It is an amenable number.

4072564093 is a deficient number, since it is larger than the sum of its proper divisors (313962107).

4072564093 is a wasteful number, since it uses less digits than its factorization.

4072564093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49151.

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 4072564093 is about 63816.6443257556. The cubic root of 4072564093 is about 1596.9426110637.

The spelling of 4072564093 in words is "four billion, seventy-two million, five hundred sixty-four thousand, ninety-three".