857472 has 128 divisors (see below), whose sum is σ = 2937600. Its totient is φ = 215040.

The previous prime is 857471. The next prime is 857513. The reversal of 857472 is 274758.

It is a tau number, because it is divible by the number of its divisors (128).

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

Its product of digits (15680) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29554 + ... + 29582.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁸⁵⁷⁴⁷² 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 857472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800).

857472 is an abundant number, since it is smaller than the sum of its proper divisors (2080128).

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

857472 is a wasteful number, since it uses less digits than its factorization.

857472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

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

The square root of 857472 is about 925.9978401703. The cubic root of 857472 is about 95.0035825057.

It can be divided in two parts, 8574 and 72, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 857472 in words is "eight hundred fifty-seven thousand, four hundred seventy-two".