72535009 has 8 divisors (see below), whose sum is σ = 75111680. Its totient is φ = 69973200.

The previous prime is 72535007. The next prime is 72535019. The reversal of 72535009 is 90053527.

It is a happy number.

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

It is not a de Polignac number, because 72535009 - 2¹ = 72535007 is a prime.

It is a super-2 number, since 2×72535009² = 10522655061260162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72535007) 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, 6727 + ... + 13795.

It is an arithmetic number, because the mean of its divisors is an integer number (9388960).

Almost surely, 2^72535009 is an apocalyptic number.

It is an amenable number.

72535009 is a deficient number, since it is larger than the sum of its proper divisors (2576671).

72535009 is a wasteful number, since it uses less digits than its factorization.

72535009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 72535009 is about 8516.7487341121. The cubic root of 72535009 is about 417.0446520590.

The spelling of 72535009 in words is "seventy-two million, five hundred thirty-five thousand, nine".