72116905 has 16 divisors (see below), whose sum is σ = 99517824. Its totient is φ = 49144320.

The previous prime is 72116903. The next prime is 72116917. The reversal of 72116905 is 50961127.

It is not a de Polignac number, because 72116905 - 2¹ = 72116903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72116903) 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, 616 + ... + 12025.

It is an arithmetic number, because the mean of its divisors is an integer number (6219864).

Almost surely, 2^72116905 is an apocalyptic number.

It is an amenable number.

72116905 is a deficient number, since it is larger than the sum of its proper divisors (27400919).

72116905 is a wasteful number, since it uses less digits than its factorization.

72116905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12816.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 72116905 is about 8492.1672734350. The cubic root of 72116905 is about 416.2418023017.

The spelling of 72116905 in words is "seventy-two million, one hundred sixteen thousand, nine hundred five".