85072920 has 64 divisors (see below), whose sum is σ = 261169920. Its totient is φ = 22157184.

The previous prime is 85072919. The next prime is 85072927. The reversal of 85072920 is 2927058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85072927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3084 + ... + 13403.

It is an arithmetic number, because the mean of its divisors is an integer number (4080780).

Almost surely, 2^85072920 is an apocalyptic number.

It is an amenable number.

85072920 is an abundant number, since it is smaller than the sum of its proper divisors (176097000).

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

85072920 is a wasteful number, since it uses less digits than its factorization.

85072920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16544 (or 16540 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 85072920 is about 9223.4982517481. The cubic root of 85072920 is about 439.8086633647.

Adding to 85072920 its reverse (2927058), we get a palindrome (87999978).

The spelling of 85072920 in words is "eighty-five million, seventy-two thousand, nine hundred twenty".