86072616 has 144 divisors (see below), whose sum is σ = 280275840. Its totient is φ = 23768640.

The previous prime is 86072611. The next prime is 86072617. The reversal of 86072616 is 61627068.

It is a happy number.

86072616 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86072611) 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 35 ways as a sum of consecutive naturals, for example, 108975 + ... + 109761.

It is an arithmetic number, because the mean of its divisors is an integer number (1946360).

Almost surely, 2^86072616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86072616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140137920).

86072616 is an abundant number, since it is smaller than the sum of its proper divisors (194203224).

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

86072616 is a wasteful number, since it uses less digits than its factorization.

86072616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 86072616 is about 9277.5328617041. The cubic root of 86072616 is about 441.5246967139.

The spelling of 86072616 in words is "eighty-six million, seventy-two thousand, six hundred sixteen".