85155972 has 48 divisors (see below), whose sum is σ = 218115072. Its totient is φ = 25643680.

The previous prime is 85155949. The next prime is 85155979. The reversal of 85155972 is 27955158.

It is not an unprimeable number, because it can be changed into a prime (85155979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20113 + ... + 23975.

It is an arithmetic number, because the mean of its divisors is an integer number (4544064).

Almost surely, 2^85155972 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 85155972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109057536).

85155972 is an abundant number, since it is smaller than the sum of its proper divisors (132959100).

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

85155972 is a wasteful number, since it uses less digits than its factorization.

85155972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4046 counting only the distinct ones).

The product of its digits is 126000, while the sum is 42.

The square root of 85155972 is about 9227.9993498049. Note that the first 3 decimals coincide. The cubic root of 85155972 is about 439.9517371306.

The spelling of 85155972 in words is "eighty-five million, one hundred fifty-five thousand, nine hundred seventy-two".