85451872 has 96 divisors (see below), whose sum is σ = 195084288. Its totient is φ = 36480000.

The previous prime is 85451857. The next prime is 85451881. The reversal of 85451872 is 27815458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447297 + ... + 447487.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2^85451872 is an apocalyptic number.

85451872 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 85451872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542144).

85451872 is an abundant number, since it is smaller than the sum of its proper divisors (109632416).

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

85451872 is a wasteful number, since it uses less digits than its factorization.

85451872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 89600, while the sum is 40.

The square root of 85451872 is about 9244.0181739328. The cubic root of 85451872 is about 440.4607295172.

The spelling of 85451872 in words is "eighty-five million, four hundred fifty-one thousand, eight hundred seventy-two".