85725540 has 144 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 22083840.

The previous prime is 85725533. The next prime is 85725551. The reversal of 85725540 is 4552758.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 85725495 and 85725504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150376 + ... + 150944.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2^85725540 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 85725540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

85725540 is an abundant number, since it is smaller than the sum of its proper divisors (193127580).

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

85725540 is a wasteful number, since it uses less digits than its factorization.

85725540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 85725540 is about 9258.8087786713. The cubic root of 85725540 is about 440.9304346747.

The spelling of 85725540 in words is "eighty-five million, seven hundred twenty-five thousand, five hundred forty".