72619130881 has 16 divisors (see below), whose sum is σ = 81510966720. Its totient is φ = 64115513280.

The previous prime is 72619130863. The next prime is 72619130981. The reversal of 72619130881 is 18803191627.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72619130881 - 2⁵ = 72619130849 is a prime.

It is a super-2 number, since 2×72619130881² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72619130981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59535 + ... + 385723.

It is an arithmetic number, because the mean of its divisors is an integer number (5094435420).

It is a Proth number, since it is equal to 69255 ⋅ 2²⁰ + 1 and 69255 < 2²⁰.

Almost surely, 2^72619130881 is an apocalyptic number.

It is an amenable number.

72619130881 is a deficient number, since it is larger than the sum of its proper divisors (8891835839).

72619130881 is a wasteful number, since it uses less digits than its factorization.

72619130881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326784.

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 72619130881 in words is "seventy-two billion, six hundred nineteen million, one hundred thirty thousand, eight hundred eighty-one".