72066953 has 8 divisors (see below), whose sum is σ = 82705920. Its totient is φ = 61513920.

The previous prime is 72066931. The next prime is 72066959. The reversal of 72066953 is 35966027.

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 72066953 - 2¹² = 72062857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72066959) 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, 19673 + ... + 23046.

It is an arithmetic number, because the mean of its divisors is an integer number (10338240).

Almost surely, 2^72066953 is an apocalyptic number.

It is an amenable number.

72066953 is a deficient number, since it is larger than the sum of its proper divisors (10638967).

72066953 is a wasteful number, since it uses less digits than its factorization.

72066953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42967.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 72066953 is about 8489.2257008516. The cubic root of 72066953 is about 416.1456763752.

The spelling of 72066953 in words is "seventy-two million, sixty-six thousand, nine hundred fifty-three".