86149072 has 20 divisors (see below), whose sum is σ = 167059620. Its totient is φ = 43036928.

The previous prime is 86149033. The next prime is 86149079. The reversal of 86149072 is 27094168.

It can be written as a sum of positive squares in 2 ways, for example, as 55413136 + 30735936 = 7444^2 + 5544^2 .

It is a super-2 number, since 2×86149072² = 14843325212922368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86149079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30204 + ... + 32932.

It is an arithmetic number, because the mean of its divisors is an integer number (8352981).

Almost surely, 2^86149072 is an apocalyptic number.

It is an amenable number.

86149072 is a deficient number, since it is larger than the sum of its proper divisors (80910548).

86149072 is a wasteful number, since it uses less digits than its factorization.

86149072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 86149072 is about 9281.6524390865. The cubic root of 86149072 is about 441.6553895463.

The spelling of 86149072 in words is "eighty-six million, one hundred forty-nine thousand, seventy-two".