86200072 has 32 divisors (see below), whose sum is σ = 185555520. Its totient is φ = 36774720.

The previous prime is 86200069. The next prime is 86200073. The reversal of 86200072 is 27000268.

It is not an unprimeable number, because it can be changed into a prime (86200073) 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 7 ways as a sum of consecutive naturals, for example, 9322 + ... + 16102.

It is an arithmetic number, because the mean of its divisors is an integer number (5798610).

Almost surely, 2^86200072 is an apocalyptic number.

It is an amenable number.

86200072 is an abundant number, since it is smaller than the sum of its proper divisors (99355448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86200072 is a wasteful number, since it uses less digits than its factorization.

86200072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 86200072 is about 9284.3993882211. The cubic root of 86200072 is about 441.7425252558.

The spelling of 86200072 in words is "eighty-six million, two hundred thousand, seventy-two".