72116146516 has 24 divisors (see below), whose sum is σ = 127978499880. Its totient is φ = 35553626112.

The previous prime is 72116146489. The next prime is 72116146519. The reversal of 72116146516 is 61564161127.

It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 72113731600 = 1554^2 + 268540^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72116146519) 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, 241105 + ... + 449848.

It is an arithmetic number, because the mean of its divisors is an integer number (5332437495).

Almost surely, 2^72116146516 is an apocalyptic number.

It is an amenable number.

72116146516 is a deficient number, since it is larger than the sum of its proper divisors (55862353364).

72116146516 is a wasteful number, since it uses less digits than its factorization.

72116146516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691323 (or 691321 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The spelling of 72116146516 in words is "seventy-two billion, one hundred sixteen million, one hundred forty-six thousand, five hundred sixteen".