72072935 has 8 divisors (see below), whose sum is σ = 94350096. Its totient is φ = 52416640.

The previous prime is 72072919. The next prime is 72072937. The reversal of 72072935 is 53927027.

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

It is not a de Polignac number, because 72072935 - 2⁴ = 72072919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72072895 and 72072904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72072937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655154 + ... + 655263.

It is an arithmetic number, because the mean of its divisors is an integer number (11793762).

Almost surely, 2^72072935 is an apocalyptic number.

72072935 is a deficient number, since it is larger than the sum of its proper divisors (22277161).

72072935 is a wasteful number, since it uses less digits than its factorization.

72072935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310433.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 72072935 is about 8489.5780224932. The cubic root of 72072935 is about 416.1571902728.

The spelling of 72072935 in words is "seventy-two million, seventy-two thousand, nine hundred thirty-five".