72947309 has 8 divisors (see below), whose sum is σ = 75437568. Its totient is φ = 70465680.

The previous prime is 72947291. The next prime is 72947311. The reversal of 72947309 is 90374927.

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 72947309 - 2¹⁶ = 72881773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72947359) 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 7 ways as a sum of consecutive naturals, for example, 18239 + ... + 21875.

It is an arithmetic number, because the mean of its divisors is an integer number (9429696).

Almost surely, 2^72947309 is an apocalyptic number.

It is an amenable number.

72947309 is a deficient number, since it is larger than the sum of its proper divisors (2490259).

72947309 is a wasteful number, since it uses less digits than its factorization.

72947309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315.

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 72947309 is about 8540.9196811585. The cubic root of 72947309 is about 417.8333412976.

The spelling of 72947309 in words is "seventy-two million, nine hundred forty-seven thousand, three hundred nine".