72106716 has 24 divisors (see below), whose sum is σ = 183544704. Its totient is φ = 21850480.

The previous prime is 72106711. The next prime is 72106721. The reversal of 72106716 is 61760127.

It is a happy number.

72106716 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (72106711) and next prime (72106721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273000 + ... + 273263.

It is an arithmetic number, because the mean of its divisors is an integer number (7647696).

Almost surely, 2^72106716 is an apocalyptic number.

It is an amenable number.

72106716 is an abundant number, since it is smaller than the sum of its proper divisors (111437988).

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

72106716 is a wasteful number, since it uses less digits than its factorization.

72106716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546281 (or 546279 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 72106716 is about 8491.5673464915. The cubic root of 72106716 is about 416.2221985418. Note that the first 3 decimals are identical.

The spelling of 72106716 in words is "seventy-two million, one hundred six thousand, seven hundred sixteen".