86117472 has 192 divisors, whose sum is σ = 297561600. Its totient is φ = 23708160.

The previous prime is 86117467. The next prime is 86117503. The reversal of 86117472 is 27471168.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175147 + ... + 175637.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 2^86117472 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 86117472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

86117472 is an abundant number, since it is smaller than the sum of its proper divisors (211444128).

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

86117472 is a wasteful number, since it uses less digits than its factorization.

86117472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 86117472 is about 9279.9499998653. The cubic root of 86117472 is about 441.6013823208.

The spelling of 86117472 in words is "eighty-six million, one hundred seventeen thousand, four hundred seventy-two".