86158072 has 192 divisors, whose sum is σ = 232696800. Its totient is φ = 29352960.

The previous prime is 86158063. The next prime is 86158081. The reversal of 86158072 is 27085168.

It is an interprime number because it is at equal distance from previous prime (86158063) and next prime (86158081).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1625598 + ... + 1625650.

Almost surely, 2^86158072 is an apocalyptic number.

86158072 is the 7579-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86158072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116348400).

86158072 is an abundant number, since it is smaller than the sum of its proper divisors (146538728).

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

86158072 is a wasteful number, since it uses less digits than its factorization.

86158072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 86158072 is about 9282.1372538872. The cubic root of 86158072 is about 441.6707689346.

The spelling of 86158072 in words is "eighty-six million, one hundred fifty-eight thousand, seventy-two".