86452272 has 100 divisors (see below), whose sum is σ = 256478376. Its totient is φ = 28097280.

The previous prime is 86452253. The next prime is 86452279. The reversal of 86452272 is 27225468.

86452272 is a `hidden beast` number, since 8 + 64 + 522 + 72 = 666.

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 (86452279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52323 + ... + 53949.

Almost surely, 2^86452272 is an apocalyptic number.

86452272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86452272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128239188).

86452272 is an abundant number, since it is smaller than the sum of its proper divisors (170026104).

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

86452272 is a wasteful number, since it uses less digits than its factorization.

86452272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1673 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 86452272 is about 9297.9713916531. The cubic root of 86452272 is about 442.1729154259.

The spelling of 86452272 in words is "eighty-six million, four hundred fifty-two thousand, two hundred seventy-two".