72135259 has 8 divisors (see below), whose sum is σ = 82496480. Its totient is φ = 61788096.

The previous prime is 72135253. The next prime is 72135269. The reversal of 72135259 is 95253127.

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 72135259 - 2³ = 72135251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72135251) 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, 12157 + ... + 17089.

It is an arithmetic number, because the mean of its divisors is an integer number (10312060).

Almost surely, 2^72135259 is an apocalyptic number.

72135259 is a deficient number, since it is larger than the sum of its proper divisors (10361221).

72135259 is a wasteful number, since it uses less digits than its factorization.

72135259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029.

The product of its digits is 18900, while the sum is 34.

The square root of 72135259 is about 8493.2478475551. The cubic root of 72135259 is about 416.2771109625.

The spelling of 72135259 in words is "seventy-two million, one hundred thirty-five thousand, two hundred fifty-nine".