85123872 has 168 divisors, whose sum is σ = 260287020. Its totient is φ = 27371520.

The previous prime is 85123867. The next prime is 85123873. The reversal of 85123872 is 27832158.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 15968016 = 8316^2 + 3996^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85123873) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 956404 + ... + 956492.

Almost surely, 2^85123872 is an apocalyptic number.

85123872 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 85123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130143510).

85123872 is an abundant number, since it is smaller than the sum of its proper divisors (175163148).

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

85123872 is an equidigital number, since it uses as much as digits as its factorization.

85123872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 85123872 is about 9226.2599139630. The cubic root of 85123872 is about 439.8964494613.

The spelling of 85123872 in words is "eighty-five million, one hundred twenty-three thousand, eight hundred seventy-two".