72909849 has 8 divisors (see below), whose sum is σ = 99584352. Its totient is φ = 47420960.

The previous prime is 72909817. The next prime is 72909853. The reversal of 72909849 is 94890927.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72909849 - 2⁵ = 72909817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72909798 and 72909807.

It is not an unprimeable number, because it can be changed into a prime (72909349) 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, 296259 + ... + 296504.

It is an arithmetic number, because the mean of its divisors is an integer number (12448044).

Almost surely, 2^72909849 is an apocalyptic number.

It is an amenable number.

72909849 is a deficient number, since it is larger than the sum of its proper divisors (26674503).

72909849 is a wasteful number, since it uses less digits than its factorization.

72909849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592807.

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 72909849 is about 8538.7264272841. The cubic root of 72909849 is about 417.7618069387.

The spelling of 72909849 in words is "seventy-two million, nine hundred nine thousand, eight hundred forty-nine".