85572720 has 160 divisors (see below), whose sum is σ = 297748800. Its totient is φ = 22588416.

The previous prime is 85572703. The next prime is 85572733. The reversal of 85572720 is 2727558.

85572720 is a `hidden beast` number, since 85 + 572 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 373566 + ... + 373794.

It is an arithmetic number, because the mean of its divisors is an integer number (1860930).

Almost surely, 2^85572720 is an apocalyptic number.

85572720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85572720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148874400).

85572720 is an abundant number, since it is smaller than the sum of its proper divisors (212176080).

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

85572720 is a wasteful number, since it uses less digits than its factorization.

85572720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 85572720 is about 9250.5524159371. The cubic root of 85572720 is about 440.6682682725.

The spelling of 85572720 in words is "eighty-five million, five hundred seventy-two thousand, seven hundred twenty".