72016101 has 8 divisors (see below), whose sum is σ = 106690560. Its totient is φ = 48010716.

The previous prime is 72016031. The next prime is 72016103. The reversal of 72016101 is 10161027.

It is not a de Polignac number, because 72016101 - 2¹¹ = 72014053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72016103) 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, 1333605 + ... + 1333658.

It is an arithmetic number, because the mean of its divisors is an integer number (13336320).

Almost surely, 2^72016101 is an apocalyptic number.

It is an amenable number.

72016101 is a deficient number, since it is larger than the sum of its proper divisors (34674459).

72016101 is a wasteful number, since it uses less digits than its factorization.

72016101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667272 (or 2667266 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 72016101 is about 8486.2300817265. The cubic root of 72016101 is about 416.0477728821.

Adding to 72016101 its reverse (10161027), we get a palindrome (82177128).

The spelling of 72016101 in words is "seventy-two million, sixteen thousand, one hundred one".