72509035 has 16 divisors (see below), whose sum is σ = 93324960. Its totient is φ = 53913600.

The previous prime is 72509027. The next prime is 72509069. The reversal of 72509035 is 53090527.

It is a happy number.

It is not a de Polignac number, because 72509035 - 2³ = 72509027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72508988 and 72509006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2166 + ... + 12235.

It is an arithmetic number, because the mean of its divisors is an integer number (5832810).

Almost surely, 2^72509035 is an apocalyptic number.

72509035 is a deficient number, since it is larger than the sum of its proper divisors (20815925).

72509035 is a wasteful number, since it uses less digits than its factorization.

72509035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478.

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

The square root of 72509035 is about 8515.2237199031. The cubic root of 72509035 is about 416.9948663938.

The spelling of 72509035 in words is "seventy-two million, five hundred nine thousand, thirty-five".