85271472 has 240 divisors, whose sum is σ = 290043936. Its totient is φ = 23040000.

The previous prime is 85271467. The next prime is 85271551. The reversal of 85271472 is 27417258.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844222 + ... + 844322.

Almost surely, 2^85271472 is an apocalyptic number.

85271472 is a gapful number since it is divisible by the number (82) 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 85271472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145021968).

85271472 is an abundant number, since it is smaller than the sum of its proper divisors (204772464).

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

85271472 is a wasteful number, since it uses less digits than its factorization.

85271472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 85271472 is about 9234.2553570930. The cubic root of 85271472 is about 440.1505545396.

It can be divided in two parts, 8527 and 1472, that added together give a palindrome (9999).

The spelling of 85271472 in words is "eighty-five million, two hundred seventy-one thousand, four hundred seventy-two".