85472192 has 56 divisors (see below), whose sum is σ = 193432176. Its totient is φ = 37122048.

The previous prime is 85472171. The next prime is 85472197. The reversal of 85472192 is 29127458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85472197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11123 + ... + 17165.

It is an arithmetic number, because the mean of its divisors is an integer number (3454146).

Almost surely, 2^85472192 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 85472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96716088).

85472192 is an abundant number, since it is smaller than the sum of its proper divisors (107959984).

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

85472192 is a wasteful number, since it uses less digits than its factorization.

85472192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6075 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 85472192 is about 9245.1171977428. The cubic root of 85472192 is about 440.4956398219.

It can be divided in two parts, 85 and 472192, that multiplied together give a triangular number (40136320 = T₈₉₅₉).

The spelling of 85472192 in words is "eighty-five million, four hundred seventy-two thousand, one hundred ninety-two".