739746207225 has 189 divisors, whose sum is σ = 1442903184093. Its totient is φ = 376015400640.

The previous prime is 739746207199. The next prime is 739746207227. The reversal of 739746207225 is 522702647937.

It is a happy number.

The square root of 739746207225 is 860085.

It is a perfect power (a square), and thus also a powerful number.

739746207225 is a `hidden beast` number, since 7 + 3 + 9 + 7 + 4 + 620 + 7 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169515828729 + 570230378496 = 411723^2 + 755136^2 .

It is a de Polignac number, because none of the positive numbers 2^k-739746207225 is a prime.

It is a super-2 number, since 2×739746207225² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (739746207227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2670563787 + ... + 2670564063.

Almost surely, 2^739746207225 is an apocalyptic number.

739746207225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

739746207225 is the 860085-th square number.

739746207225 is the 430043-rd centered octagonal number.

It is an amenable number.

739746207225 is a deficient number, since it is larger than the sum of its proper divisors (703156976868).

739746207225 is an frugal number, since it uses more digits than its factorization.

739746207225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 739746207225 in words is "seven hundred thirty-nine billion, seven hundred forty-six million, two hundred seven thousand, two hundred twenty-five".