86072091 has 32 divisors (see below), whose sum is σ = 134676480. Its totient is φ = 47882016.

The previous prime is 86072059. The next prime is 86072123. The reversal of 86072091 is 19027068.

It is an interprime number because it is at equal distance from previous prime (86072059) and next prime (86072123).

It is not a de Polignac number, because 86072091 - 2⁵ = 86072059 is a prime.

It is a super-2 number, since 2×86072091² = 14816809698224562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86072291) 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 31 ways as a sum of consecutive naturals, for example, 157080 + ... + 157626.

It is an arithmetic number, because the mean of its divisors is an integer number (4208640).

Almost surely, 2^86072091 is an apocalyptic number.

86072091 is a deficient number, since it is larger than the sum of its proper divisors (48604389).

86072091 is a wasteful number, since it uses less digits than its factorization.

86072091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 86072091 is about 9277.5045675009. The cubic root of 86072091 is about 441.5237990187.

The spelling of 86072091 in words is "eighty-six million, seventy-two thousand, ninety-one".