85569972 has 24 divisors (see below), whose sum is σ = 200541600. Its totient is φ = 28397856.

The previous prime is 85569961. The next prime is 85569983. The reversal of 85569972 is 27996558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85569961) and next prime (85569983).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12822 + ... + 18317.

It is an arithmetic number, because the mean of its divisors is an integer number (8355900).

Almost surely, 2^85569972 is an apocalyptic number.

It is an amenable number.

85569972 is an abundant number, since it is smaller than the sum of its proper divisors (114971628).

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

85569972 is a wasteful number, since it uses less digits than its factorization.

85569972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31375 (or 31373 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 85569972 is about 9250.4038830745. The cubic root of 85569972 is about 440.6635511564.

It can be divided in two parts, 8556 and 9972, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 85569972 in words is "eighty-five million, five hundred sixty-nine thousand, nine hundred seventy-two".