86355072 has 80 divisors (see below), whose sum is σ = 257022150. Its totient is φ = 28781568.

The previous prime is 86355067. The next prime is 86355079. The reversal of 86355072 is 27055368.

It can be written as a sum of positive squares in only one way, i.e., 83612736 + 2742336 = 9144^2 + 1656^2 .

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 (86355079) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6204 + ... + 14532.

Almost surely, 2^86355072 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 86355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128511075).

86355072 is an abundant number, since it is smaller than the sum of its proper divisors (170667078).

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

86355072 is an equidigital number, since it uses as much as digits as its factorization.

86355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 86355072 is about 9292.7429750316. The cubic root of 86355072 is about 442.0071386957.

The spelling of 86355072 in words is "eighty-six million, three hundred fifty-five thousand, seventy-two".