85072041 has 24 divisors (see below), whose sum is σ = 125910720. Its totient is φ = 55332000.

The previous prime is 85072033. The next prime is 85072061. The reversal of 85072041 is 14027058.

It is not a de Polignac number, because 85072041 - 2³ = 85072033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85071996 and 85072014.

It is not an unprimeable number, because it can be changed into a prime (85072061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79651 + ... + 80711.

It is an arithmetic number, because the mean of its divisors is an integer number (5246280).

Almost surely, 2^85072041 is an apocalyptic number.

It is an amenable number.

85072041 is a deficient number, since it is larger than the sum of its proper divisors (40838679).

85072041 is a wasteful number, since it uses less digits than its factorization.

85072041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 85072041 is about 9223.4506015916. The cubic root of 85072041 is about 439.8071486126.

Adding to 85072041 its reverse (14027058), we get a palindrome (99099099).

The spelling of 85072041 in words is "eighty-five million, seventy-two thousand, forty-one".