85722 has 32 divisors (see below), whose sum is σ = 212352. Its totient is φ = 22464.

The previous prime is 85717. The next prime is 85733. The reversal of 85722 is 22758.

It is a super-2 number, since 2×85722² = 14696522568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85692 and 85701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2⁸⁵⁷²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106176).

85722 is an abundant number, since it is smaller than the sum of its proper divisors (126630).

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

85722 is a wasteful number, since it uses less digits than its factorization.

85722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182.

The product of its digits is 1120, while the sum is 24.

The square root of 85722 is about 292.7831962391. The cubic root of 85722 is about 44.0924365246.

The spelling of 85722 in words is "eighty-five thousand, seven hundred twenty-two".