85727720 has 64 divisors (see below), whose sum is σ = 212844240. Its totient is φ = 30873600.

The previous prime is 85727717. The next prime is 85727723. The reversal of 85727720 is 2772758.

It is an interprime number because it is at equal distance from previous prime (85727717) and next prime (85727723).

It can be written as a sum of positive squares in 8 ways, for example, as 91204 + 85636516 = 302^2 + 9254^2 .

It is not an unprimeable number, because it can be changed into a prime (85727723) 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, 19310 + ... + 23330.

Almost surely, 2^85727720 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 85727720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106422120).

85727720 is an abundant number, since it is smaller than the sum of its proper divisors (127116520).

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

85727720 is a wasteful number, since it uses less digits than its factorization.

85727720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 38.

The square root of 85727720 is about 9258.9265036504. The cubic root of 85727720 is about 440.9341722625.

The spelling of 85727720 in words is "eighty-five million, seven hundred twenty-seven thousand, seven hundred twenty".