85038072 has 64 divisors (see below), whose sum is σ = 255763200. Its totient is φ = 23016960.

The previous prime is 85038071. The next prime is 85038077. The reversal of 85038072 is 27083058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85038071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10129 + ... + 16512.

It is an arithmetic number, because the mean of its divisors is an integer number (3996300).

Almost surely, 2^85038072 is an apocalyptic number.

It is an amenable number.

85038072 is an abundant number, since it is smaller than the sum of its proper divisors (170725128).

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

85038072 is a wasteful number, since it uses less digits than its factorization.

85038072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26676 (or 26672 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 85038072 is about 9221.6089702394. The cubic root of 85038072 is about 439.7486029464.

The spelling of 85038072 in words is "eighty-five million, thirty-eight thousand, seventy-two".