72181146216 has 32 divisors (see below), whose sum is σ = 182313210240. Its totient is φ = 23812336128.

The previous prime is 72181146173. The next prime is 72181146217. The reversal of 72181146216 is 61264118127.

It is a super-2 number, since 2×72181146216² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72181146217) 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, 15500496 + ... + 15505151.

It is an arithmetic number, because the mean of its divisors is an integer number (5697287820).

Almost surely, 2^72181146216 is an apocalyptic number.

It is an amenable number.

72181146216 is an abundant number, since it is smaller than the sum of its proper divisors (110132064024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72181146216 is a wasteful number, since it uses less digits than its factorization.

72181146216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31005753 (or 31005749 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The spelling of 72181146216 in words is "seventy-two billion, one hundred eighty-one million, one hundred forty-six thousand, two hundred sixteen".