72509633 has 8 divisors (see below), whose sum is σ = 83200320. Its totient is φ = 61902000.

The previous prime is 72509623. The next prime is 72509669. The reversal of 72509633 is 33690527.

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 72509633 - 2¹⁰ = 72508609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72509593 and 72509602.

It is not an unprimeable number, because it can be changed into a prime (72509623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18878 + ... + 22391.

It is an arithmetic number, because the mean of its divisors is an integer number (10400040).

Almost surely, 2^72509633 is an apocalyptic number.

It is an amenable number.

72509633 is a deficient number, since it is larger than the sum of its proper divisors (10690687).

72509633 is a wasteful number, since it uses less digits than its factorization.

72509633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41527.

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 72509633 is about 8515.2588334119. The cubic root of 72509633 is about 416.9960127440.

The spelling of 72509633 in words is "seventy-two million, five hundred nine thousand, six hundred thirty-three".