85029672 has 64 divisors (see below), whose sum is σ = 261636480. Its totient is φ = 22424832.

The previous prime is 85029647. The next prime is 85029697. The reversal of 85029672 is 27692058.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85029647) and next prime (85029697).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 85029672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17283 + ... + 21650.

It is an arithmetic number, because the mean of its divisors is an integer number (4088070).

Almost surely, 2^85029672 is an apocalyptic number.

It is an amenable number.

85029672 is an abundant number, since it is smaller than the sum of its proper divisors (176606808).

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

85029672 is a wasteful number, since it uses less digits than its factorization.

85029672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38962 (or 38958 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 85029672 is about 9221.1535070185. The cubic root of 85029672 is about 439.7341231187.

The spelling of 85029672 in words is "eighty-five million, twenty-nine thousand, six hundred seventy-two".