93085872 has 40 divisors (see below), whose sum is σ = 262334400. Its totient is φ = 28207680.

The previous prime is 93085843. The next prime is 93085879. The reversal of 93085872 is 27858039.

It is not an unprimeable number, because it can be changed into a prime (93085879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87622 + ... + 88677.

It is an arithmetic number, because the mean of its divisors is an integer number (6558360).

Almost surely, 2^93085872 is an apocalyptic number.

It is an amenable number.

93085872 is an abundant number, since it is smaller than the sum of its proper divisors (169248528).

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

93085872 is a wasteful number, since it uses less digits than its factorization.

93085872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176321 (or 176315 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 93085872 is about 9648.1019895107. The cubic root of 93085872 is about 453.2048934481.

It can be divided in two parts, 930858 and 72, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 93085872 in words is "ninety-three million, eighty-five thousand, eight hundred seventy-two".