7857252 has 72 divisors (see below), whose sum is σ = 21729344. Its totient is φ = 2379456.

The previous prime is 7857233. The next prime is 7857263. The reversal of 7857252 is 2527587.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7² + 8 + 5 + 7⁸ + 2¹³ + 5⁹ + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48123 + ... + 48285.

Almost surely, 2^7857252 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 7857252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864672).

7857252 is an abundant number, since it is smaller than the sum of its proper divisors (13872092).

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

7857252 is a wasteful number, since it uses less digits than its factorization.

7857252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 7857252 is about 2803.0790213620. The cubic root of 7857252 is about 198.8032870054.

The spelling of 7857252 in words is "seven million, eight hundred fifty-seven thousand, two hundred fifty-two".