72509983 has 8 divisors (see below), whose sum is σ = 89243168. Its totient is φ = 57370464.

The previous prime is 72509963. The next prime is 72509993. The reversal of 72509983 is 38990527.

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 72509983 - 2¹³ = 72501791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72509923) 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, 398316 + ... + 398497.

It is an arithmetic number, because the mean of its divisors is an integer number (11155396).

Almost surely, 2^72509983 is an apocalyptic number.

72509983 is a deficient number, since it is larger than the sum of its proper divisors (16733185).

72509983 is a wasteful number, since it uses less digits than its factorization.

72509983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796833.

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 72509983 is about 8515.2793847295. The cubic root of 72509983 is about 416.9966836818.

The spelling of 72509983 in words is "seventy-two million, five hundred nine thousand, nine hundred eighty-three".