86275072 has 44 divisors (see below), whose sum is σ = 185761156. Its totient is φ = 39813120.

The previous prime is 86275069. The next prime is 86275073. The reversal of 86275072 is 27057268.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 35808256 = 7104^2 + 5984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86275073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10072 + ... + 16552.

Almost surely, 2^86275072 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 86275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92880578).

86275072 is an abundant number, since it is smaller than the sum of its proper divisors (99486084).

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

86275072 is a wasteful number, since it uses less digits than its factorization.

86275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 86275072 is about 9288.4375435269. The cubic root of 86275072 is about 441.8706035919.

The spelling of 86275072 in words is "eighty-six million, two hundred seventy-five thousand, seventy-two".