85141672 has 64 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 32778240.

The previous prime is 85141663. The next prime is 85141703. The reversal of 85141672 is 27614158.

It is a nialpdrome in base 14.

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, 54048 + ... + 55600.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2^85141672 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 85141672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

85141672 is an abundant number, since it is smaller than the sum of its proper divisors (116256728).

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

85141672 is a wasteful number, since it uses less digits than its factorization.

85141672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 85141672 is about 9227.2245014414. The cubic root of 85141672 is about 439.9271091376.

The spelling of 85141672 in words is "eighty-five million, one hundred forty-one thousand, six hundred seventy-two".