7857972 has 60 divisors (see below), whose sum is σ = 20870080. Its totient is φ = 2577744.

The previous prime is 7857953. The next prime is 7857979. The reversal of 7857972 is 2797587.

7857972 is a `hidden beast` number, since 7 + 8 + 579 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7857979) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25443 + ... + 25749.

Almost surely, 2^7857972 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 7857972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435040).

7857972 is an abundant number, since it is smaller than the sum of its proper divisors (13012108).

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

7857972 is a wasteful number, since it uses less digits than its factorization.

7857972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 7857972 is about 2803.2074486202. The cubic root of 7857972 is about 198.8093592723.

The spelling of 7857972 in words is "seven million, eight hundred fifty-seven thousand, nine hundred seventy-two".