85072968 has 36 divisors (see below), whose sum is σ = 230618115. Its totient is φ = 28331568.

The previous prime is 85072957. The next prime is 85072969. The reversal of 85072968 is 86927058.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 42536484 + 42536484 = 6522^2 + 6522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6522.

It is not an unprimeable number, because it can be changed into a prime (85072969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77721 + ... + 78807.

Almost surely, 2^85072968 is an apocalyptic number.

It is an amenable number.

85072968 is an abundant number, since it is smaller than the sum of its proper divisors (145545147).

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

85072968 is a wasteful number, since it uses less digits than its factorization.

85072968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85072968 is about 9223.5008537973. The cubic root of 85072968 is about 439.8087460812.

The spelling of 85072968 in words is "eighty-five million, seventy-two thousand, nine hundred sixty-eight".