85372400 has 60 divisors (see below), whose sum is σ = 209029032. Its totient is φ = 33496320.

The previous prime is 85372387. The next prime is 85372423. The reversal of 85372400 is 427358.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19187 + ... + 23213.

Almost surely, 2^85372400 is an apocalyptic number.

85372400 is a gapful number since it is divisible by the number (80) 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 85372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104514516).

85372400 is an abundant number, since it is smaller than the sum of its proper divisors (123656632).

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

85372400 is a wasteful number, since it uses less digits than its factorization.

85372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 85372400 is about 9239.7186104340. The cubic root of 85372400 is about 440.3241413167.

Adding to 85372400 its reverse (427358), we get a palindrome (85799758).

The spelling of 85372400 in words is "eighty-five million, three hundred seventy-two thousand, four hundred".