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720625729 is a prime number
BaseRepresentation
bin101010111100111…
…110000001000001
31212012222120122211
4222330332001001
52433440010404
6155301302121
723600134435
oct5274760101
91765876584
10720625729
1133a85785a
12181404941
13b63b1575
146b9c69c5
15433e8b04
hex2af3e041

720625729 has 2 divisors, whose sum is σ = 720625730. Its totient is φ = 720625728.

The previous prime is 720625709. The next prime is 720625751. The reversal of 720625729 is 927526027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 507465729 + 213160000 = 22527^2 + 14600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-720625729 is a prime.

It is equal to p37264882 and since 720625729 and 37264882 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 720625691 and 720625700.

It is not a weakly prime, because it can be changed into another prime (720625709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 360312864 + 360312865.

It is an arithmetic number, because the mean of its divisors is an integer number (360312865).

Almost surely, 2720625729 is an apocalyptic number.

It is an amenable number.

720625729 is a deficient number, since it is larger than the sum of its proper divisors (1).

720625729 is an equidigital number, since it uses as much as digits as its factorization.

720625729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 720625729 is about 26844.4729693097. The cubic root of 720625729 is about 896.5405171792.

The spelling of 720625729 in words is "seven hundred twenty million, six hundred twenty-five thousand, seven hundred twenty-nine".