72819908161 has 32 divisors (see below), whose sum is σ = 100156928256. Its totient is φ = 51100416000.

The previous prime is 72819908113. The next prime is 72819908201. The reversal of 72819908161 is 16180991827.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72819908161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72819908099 and 72819908108.

It is not an unprimeable number, because it can be changed into a prime (72819908111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846120 + ... + 928201.

It is an arithmetic number, because the mean of its divisors is an integer number (3129904008).

Almost surely, 2^72819908161 is an apocalyptic number.

It is an amenable number.

72819908161 is a deficient number, since it is larger than the sum of its proper divisors (27337020095).

72819908161 is a wasteful number, since it uses less digits than its factorization.

72819908161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774393.

The product of its (nonzero) digits is 435456, while the sum is 52.

The spelling of 72819908161 in words is "seventy-two billion, eight hundred nineteen million, nine hundred eight thousand, one hundred sixty-one".