85747200 has 480 divisors, whose sum is σ = 365333760. Its totient is φ = 17203200.

The previous prime is 85747091. The next prime is 85747213. The reversal of 85747200 is 274758.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956786 + ... + 2956814.

It is an arithmetic number, because the mean of its divisors is an integer number (761112).

Almost surely, 2^85747200 is an apocalyptic number.

85747200 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 85747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

85747200 is an abundant number, since it is smaller than the sum of its proper divisors (279586560).

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

85747200 is a wasteful number, since it uses less digits than its factorization.

85747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 85747200 is about 9259.9784017027. The cubic root of 85747200 is about 440.9675677117.

The spelling of 85747200 in words is "eighty-five million, seven hundred forty-seven thousand, two hundred".