85445672 has 64 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 35896320.

The previous prime is 85445653. The next prime is 85445677. The reversal of 85445672 is 27654458.

It is not an unprimeable number, because it can be changed into a prime (85445677) 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, 54029 + ... + 55587.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^85445672 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 85445672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

85445672 is an abundant number, since it is smaller than the sum of its proper divisors (103251928).

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

85445672 is a wasteful number, since it uses less digits than its factorization.

85445672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 85445672 is about 9243.6828158478. The cubic root of 85445672 is about 440.4500766490.

The spelling of 85445672 in words is "eighty-five million, four hundred forty-five thousand, six hundred seventy-two".