852713472 has 224 divisors, whose sum is σ = 2609222112. Its totient is φ = 245366784.

The previous prime is 852713471. The next prime is 852713501. The reversal of 852713472 is 274317258.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (94080) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 852713472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852713471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5431218 + ... + 5431374.

It is an arithmetic number, because the mean of its divisors is an integer number (11648313).

Almost surely, 2^852713472 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 852713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304611056).

852713472 is an abundant number, since it is smaller than the sum of its proper divisors (1756508640).

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

852713472 is a wasteful number, since it uses less digits than its factorization.

852713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 852713472 is about 29201.2580550907. The cubic root of 852713472 is about 948.2751609169.

The spelling of 852713472 in words is "eight hundred fifty-two million, seven hundred thirteen thousand, four hundred seventy-two".