72106199 has 12 divisors (see below), whose sum is σ = 79879800. Its totient is φ = 65036400.

The previous prime is 72106171. The next prime is 72106241. The reversal of 72106199 is 99160127.

It is not a de Polignac number, because 72106199 - 2¹⁶ = 72040663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106169) 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 11 ways as a sum of consecutive naturals, for example, 13577 + ... + 18125.

It is an arithmetic number, because the mean of its divisors is an integer number (6656650).

Almost surely, 2^72106199 is an apocalyptic number.

72106199 is a deficient number, since it is larger than the sum of its proper divisors (7773601).

72106199 is a wasteful number, since it uses less digits than its factorization.

72106199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 72106199 is about 8491.5369044714. The cubic root of 72106199 is about 416.2212037783.

The spelling of 72106199 in words is "seventy-two million, one hundred six thousand, one hundred ninety-nine".