85729572 has 72 divisors (see below), whose sum is σ = 231469056. Its totient is φ = 26659584.

The previous prime is 85729549. The next prime is 85729591. The reversal of 85729572 is 27592758.

It is a happy number.

85729572 is a `hidden beast` number, since 8 + 5 + 72 + 9 + 572 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77173 + ... + 78275.

It is an arithmetic number, because the mean of its divisors is an integer number (3214848).

Almost surely, 2^85729572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85729572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115734528).

85729572 is an abundant number, since it is smaller than the sum of its proper divisors (145739484).

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

85729572 is a wasteful number, since it uses less digits than its factorization.

85729572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1252 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 85729572 is about 9259.0265147044. The cubic root of 85729572 is about 440.9373474479.

The spelling of 85729572 in words is "eighty-five million, seven hundred twenty-nine thousand, five hundred seventy-two".