72416175722641 has 8 divisors (see below), whose sum is σ = 72782586031400. Its totient is φ = 72050673495168.

The previous prime is 72416175722617. The next prime is 72416175722689. The reversal of 72416175722641 is 14622757161427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42899827641616 + 29516348081025 = 6549796^2 + 5432895^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72416175722641 - 2¹⁷ = 72416175591569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72416175722441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226860426 + ... + 227179411.

It is an arithmetic number, because the mean of its divisors is an integer number (9097823253925).

Almost surely, 2^{72416175722641} is an apocalyptic number.

It is an amenable number.

72416175722641 is a deficient number, since it is larger than the sum of its proper divisors (366410308759).

72416175722641 is a wasteful number, since it uses less digits than its factorization.

72416175722641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454040643.

The product of its digits is 7902720, while the sum is 55.

The spelling of 72416175722641 in words is "seventy-two trillion, four hundred sixteen billion, one hundred seventy-five million, seven hundred twenty-two thousand, six hundred forty-one".