85345372 has 48 divisors (see below), whose sum is σ = 181863360. Its totient is φ = 34209792.

The previous prime is 85345367. The next prime is 85345441. The reversal of 85345372 is 27354358.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91404 + ... + 92332.

It is an arithmetic number, because the mean of its divisors is an integer number (3788820).

Almost surely, 2^85345372 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 85345372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90931680).

85345372 is an abundant number, since it is smaller than the sum of its proper divisors (96517988).

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

85345372 is a wasteful number, since it uses less digits than its factorization.

85345372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1148 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 85345372 is about 9238.2558960011. The cubic root of 85345372 is about 440.2776690882.

It can be divided in two parts, 853 and 45372, that added together give a square (46225 = 215²).

The spelling of 85345372 in words is "eighty-five million, three hundred forty-five thousand, three hundred seventy-two".