72101116 has 12 divisors (see below), whose sum is σ = 126274288. Its totient is φ = 36022752.

The previous prime is 72101111. The next prime is 72101129. The reversal of 72101116 is 61110127.

It is a junction number, because it is equal to n+sod(n) for n = 72101093 and 72101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101111) 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 3 ways as a sum of consecutive naturals, for example, 441 + ... + 12016.

Almost surely, 2^72101116 is an apocalyptic number.

It is an amenable number.

72101116 is a deficient number, since it is larger than the sum of its proper divisors (54173172).

72101116 is a wasteful number, since it uses less digits than its factorization.

72101116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13908 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 72101116 is about 8491.2376011981. The cubic root of 72101116 is about 416.2114232872.

The spelling of 72101116 in words is "seventy-two million, one hundred one thousand, one hundred sixteen".