72109000 has 32 divisors (see below), whose sum is σ = 168737400. Its totient is φ = 28843200.

The previous prime is 72108977. The next prime is 72109013. The reversal of 72109000 is 90127.

It can be written as a sum of positive squares in 4 ways, for example, as 24581764 + 47527236 = 4958^2 + 6894^2 .

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 7 ways as a sum of consecutive naturals, for example, 35055 + ... + 37054.

Almost surely, 2^72109000 is an apocalyptic number.

It is an amenable number.

72109000 is an abundant number, since it is smaller than the sum of its proper divisors (96628400).

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

72109000 is a wasteful number, since it uses less digits than its factorization.

72109000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72130 (or 72116 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 72109000 is about 8491.7018317885. The cubic root of 72109000 is about 416.2265931461.

Adding to 72109000 its reverse (90127), we get a palindrome (72199127).

The spelling of 72109000 in words is "seventy-two million, one hundred nine thousand".