4072656001 has 2 divisors, whose sum is σ = 4072656002. Its totient is φ = 4072656000.

The previous prime is 4072655999. The next prime is 4072656047. The reversal of 4072656001 is 1006562704.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3320525376 + 752130625 = 57624^2 + 27425^2 .

It is a cyclic number.

It is not a de Polignac number, because 4072656001 - 2¹ = 4072655999 is a prime.

It is a super-3 number, since 3×4072656001³ (a number of 30 digits) contains 333 as substring.

Together with 4072655999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4072651001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2036328000 + 2036328001.

It is an arithmetic number, because the mean of its divisors is an integer number (2036328001).

Almost surely, 2^4072656001 is an apocalyptic number.

It is an amenable number.

4072656001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4072656001 is an equidigital number, since it uses as much as digits as its factorization.

4072656001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 4072656001 is about 63817.3644159644. The cubic root of 4072656001 is about 1596.9546240277.

The spelling of 4072656001 in words is "four billion, seventy-two million, six hundred fifty-six thousand, one".