32072985 has 48 divisors (see below), whose sum is σ = 65744640. Its totient is φ = 14152320.

The previous prime is 32072983. The next prime is 32072987. The reversal of 32072985 is 58927023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32072983) and next prime (32072987).

It is not a de Polignac number, because 32072985 - 2¹ = 32072983 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (32072981) 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 47 ways as a sum of consecutive naturals, for example, 7380 + ... + 10890.

It is an arithmetic number, because the mean of its divisors is an integer number (1369680).

Almost surely, 2^32072985 is an apocalyptic number.

32072985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32072985 is an abundant number, since it is smaller than the sum of its proper divisors (33671655).

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

32072985 is a wasteful number, since it uses less digits than its factorization.

32072985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 32072985 is about 5663.3015988909. The cubic root of 32072985 is about 317.7213947606.

The spelling of 32072985 in words is "thirty-two million, seventy-two thousand, nine hundred eighty-five".