72086035 has 32 divisors (see below), whose sum is σ = 105840000. Its totient is φ = 46006272.

The previous prime is 72086009. The next prime is 72086059. The reversal of 72086035 is 53068027.

It is a cyclic number.

It is not a de Polignac number, because 72086035 - 2⁷ = 72085907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72085988 and 72086006.

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 31 ways as a sum of consecutive naturals, for example, 57091 + ... + 58339.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^72086035 is an apocalyptic number.

72086035 is a deficient number, since it is larger than the sum of its proper divisors (33753965).

72086035 is a wasteful number, since it uses less digits than its factorization.

With its successor (72086036) it forms an eRAP, since the sums of their prime factors are consecutive (1375 and 1376).

72086035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 72086035 is about 8490.3495216628. The cubic root of 72086035 is about 416.1824023672.

The spelling of 72086035 in words is "seventy-two million, eighty-six thousand, thirty-five".