72016082640441 has 9 divisors (see below), whose sum is σ = 104023267254309. Its totient is φ = 48010704787836.

The previous prime is 72016082640433. The next prime is 72016082640451. The reversal of 72016082640441 is 14404628061027.

The square root of 72016082640441 is 8486229.

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

72016082640441 is a `hidden beast` number, since 7 + 2 + 0 + 160 + 8 + 2 + 6 + 40 + 441 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 72016082640441 - 2³ = 72016082640433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72016082640451) 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 8 ways as a sum of consecutive naturals, for example, 24044316 + ... + 26873058.

Almost surely, 2^{72016082640441} is an apocalyptic number.

72016082640441 is the 8486229-th square number.

72016082640441 is the 4243115-th centered octagonal number.

It is an amenable number.

72016082640441 is a deficient number, since it is larger than the sum of its proper divisors (32007184613868).

72016082640441 is an frugal number, since it uses more digits than its factorization.

72016082640441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657492 (or 2828746 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 72016082640441 in words is "seventy-two trillion, sixteen billion, eighty-two million, six hundred forty thousand, four hundred forty-one".