85762032 has 80 divisors (see below), whose sum is σ = 233342208. Its totient is φ = 27089920.

The previous prime is 85762021. The next prime is 85762049. The reversal of 85762032 is 23026758.

It is a super-2 number, since 2×85762032² = 14710252265538048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85761984 and 85762002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144328 + ... + 144920.

Almost surely, 2^85762032 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 85762032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116671104).

85762032 is an abundant number, since it is smaller than the sum of its proper divisors (147580176).

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

85762032 is a wasteful number, since it uses less digits than its factorization.

85762032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 85762032 is about 9260.7792328724. The cubic root of 85762032 is about 440.9929914919.

The spelling of 85762032 in words is "eighty-five million, seven hundred sixty-two thousand, thirty-two".