85072329 has 16 divisors (see below), whose sum is σ = 132667200. Its totient is φ = 53729568.

The previous prime is 85072327. The next prime is 85072333. The reversal of 85072329 is 92327058.

It is a happy number.

It is not a de Polignac number, because 85072329 - 2¹ = 85072327 is a prime.

It is a super-2 number, since 2×85072329² = 14474602322968482, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 85072293 and 85072302.

It is not an unprimeable number, because it can be changed into a prime (85072321) by changing a digit.

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, 82404 + ... + 83429.

It is an arithmetic number, because the mean of its divisors is an integer number (8291700).

Almost surely, 2^85072329 is an apocalyptic number.

It is an amenable number.

85072329 is a deficient number, since it is larger than the sum of its proper divisors (47594871).

85072329 is a wasteful number, since it uses less digits than its factorization.

85072329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165861 (or 165855 counting only the distinct ones).

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

The square root of 85072329 is about 9223.4662139567. The cubic root of 85072329 is about 439.8076449147.

The spelling of 85072329 in words is "eighty-five million, seventy-two thousand, three hundred twenty-nine".