68720001025 has 81 divisors (see below), whose sum is σ = 95711094801. Its totient is φ = 48922548480.

The previous prime is 68720001023. The next prime is 68720001071. The reversal of 68720001025 is 52010002786.

The square root of 68720001025 is 262145.

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

68720001025 is nontrivially palindromic in base 4 and base 8.

It can be written as a sum of positive squares in 40 ways, for example, as 67650449409 + 1069551616 = 260097^2 + 32704^2 .

It is not a de Polignac number, because 68720001025 - 2¹ = 68720001023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68720001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 630458671 + ... + 630458779.

It is a Proth number, since it is equal to 131073 ⋅ 2¹⁹ + 1 and 131073 < 2¹⁹.

Almost surely, 2^68720001025 is an apocalyptic number.

68720001025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

68720001025 is the 262145-th square number.

68720001025 is the 131073-rd centered octagonal number.

It is an amenable number.

68720001025 is a deficient number, since it is larger than the sum of its proper divisors (26991093776).

68720001025 is a wasteful number, since it uses less digits than its factorization.

68720001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 68720001025 in words is "sixty-eight billion, seven hundred twenty million, one thousand, twenty-five".