72116013 has 8 divisors (see below), whose sum is σ = 99256576. Its totient is φ = 46526400.

The previous prime is 72116003. The next prime is 72116047. The reversal of 72116013 is 31061127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72116013 - 2⁶ = 72115949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72116003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387628 + ... + 387813.

It is an arithmetic number, because the mean of its divisors is an integer number (12407072).

Almost surely, 2^72116013 is an apocalyptic number.

It is an amenable number.

72116013 is a deficient number, since it is larger than the sum of its proper divisors (27140563).

72116013 is a wasteful number, since it uses less digits than its factorization.

72116013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775475.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 72116013 is about 8492.1147542882. The cubic root of 72116013 is about 416.2400861566.

The spelling of 72116013 in words is "seventy-two million, one hundred sixteen thousand, thirteen".