86373672 has 144 divisors (see below), whose sum is σ = 276554880. Its totient is φ = 22397760.

The previous prime is 86373667. The next prime is 86373709. The reversal of 86373672 is 27637368.

It is a super-3 number, since 3×86373672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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 35 ways as a sum of consecutive naturals, for example, 141993 + ... + 142599.

It is an arithmetic number, because the mean of its divisors is an integer number (1920520).

Almost surely, 2^86373672 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 86373672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138277440).

86373672 is an abundant number, since it is smaller than the sum of its proper divisors (190181208).

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

86373672 is a wasteful number, since it uses less digits than its factorization.

86373672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 630 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 86373672 is about 9293.7437020826. The cubic root of 86373672 is about 442.0388710244.

The spelling of 86373672 in words is "eighty-six million, three hundred seventy-three thousand, six hundred seventy-two".