72908219354161 has 27 divisors (see below), whose sum is σ = 75089687569689. Its totient is φ = 70789417841928.

The previous prime is 72908219354141. The next prime is 72908219354227. The reversal of 72908219354161 is 16145391280927.

The square root of 72908219354161 is 8538631.

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

It is not a de Polignac number, because 72908219354161 - 2²⁷ = 72908085136433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72908219354096 and 72908219354105.

It is not an unprimeable number, because it can be changed into a prime (72908219354141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55782875670 + ... + 55782876976.

It is a 1-persistent number, because it is pandigital, but 2⋅72908219354161 = 145816438708322 is not.

Almost surely, 2^{72908219354161} is an apocalyptic number.

72908219354161 is the 8538631-st square number.

72908219354161 is the 4269316-th centered octagonal number.

It is an amenable number.

72908219354161 is a deficient number, since it is larger than the sum of its proper divisors (2181468215528).

72908219354161 is an frugal number, since it uses more digits than its factorization.

72908219354161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 72908219354161 in words is "seventy-two trillion, nine hundred eight billion, two hundred nineteen million, three hundred fifty-four thousand, one hundred sixty-one".