72444866217025 has 9 divisors (see below), whose sum is σ = 89831686880163. Its totient is φ = 57955858927800.

The previous prime is 72444866216981. The next prime is 72444866217041. The reversal of 72444866217025 is 52071266844427.

It is a happy number.

The square root of 72444866217025 is 8511455.

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

It can be written as a sum of positive squares in only one way, i.e., 26080151838129 + 46364714378896 = 5106873^2 + 6809164^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72444866217025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41706130 + ... + 43408420.

Almost surely, 2^{72444866217025} is an apocalyptic number.

72444866217025 is the 8511455-th square number.

72444866217025 is the 4255728-th centered octagonal number.

It is an amenable number.

72444866217025 is a deficient number, since it is larger than the sum of its proper divisors (17386820663138).

72444866217025 is an frugal number, since it uses more digits than its factorization.

72444866217025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404592 (or 1702296 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 58.

The spelling of 72444866217025 in words is "seventy-two trillion, four hundred forty-four billion, eight hundred sixty-six million, two hundred seventeen thousand, twenty-five".