72109206 has 48 divisors (see below), whose sum is σ = 178161984. Its totient is φ = 20881152.

The previous prime is 72109187. The next prime is 72109217. The reversal of 72109206 is 60290127.

It is a self number, because there is not a number n which added to its sum of digits gives 72109206.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5086 + ... + 13041.

It is an arithmetic number, because the mean of its divisors is an integer number (3711708).

Almost surely, 2^72109206 is an apocalyptic number.

72109206 is an abundant number, since it is smaller than the sum of its proper divisors (106052778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72109206 is a wasteful number, since it uses less digits than its factorization.

72109206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18165 (or 18162 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72109206 is about 8491.7139612684. The cubic root of 72109206 is about 416.2269895026.

It can be divided in two parts, 72 and 109206, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 72109206 in words is "seventy-two million, one hundred nine thousand, two hundred six".