86787372 has 96 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 22885632.

The previous prime is 86787367. The next prime is 86787377. The reversal of 86787372 is 27378768.

It is an interprime number because it is at equal distance from previous prime (86787367) and next prime (86787377).

It is not an unprimeable number, because it can be changed into a prime (86787377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55254 + ... + 56802.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2^86787372 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 86787372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

86787372 is an abundant number, since it is smaller than the sum of its proper divisors (163196628).

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

86787372 is a wasteful number, since it uses less digits than its factorization.

86787372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1613 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 86787372 is about 9315.9740231497. The cubic root of 86787372 is about 442.7434850093.

The spelling of 86787372 in words is "eighty-six million, seven hundred eighty-seven thousand, three hundred seventy-two".