7825207572 has 144 divisors (see below), whose sum is σ = 24377388672. Its totient is φ = 2061054720.

The previous prime is 7825207541. The next prime is 7825207573. The reversal of 7825207572 is 2757025287.

7825207572 is a `hidden beast` number, since 78 + 2 + 5 + 2 + 0 + 7 + 572 = 666.

It is a super-2 number, since 2×7825207572² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825207573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4051447 + ... + 4053377.

Almost surely, 2^7825207572 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 7825207572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188694336).

7825207572 is an abundant number, since it is smaller than the sum of its proper divisors (16552181100).

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

7825207572 is a wasteful number, since it uses less digits than its factorization.

7825207572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 7825207572 is about 88460.2033233024. The cubic root of 7825207572 is about 1985.3265728789.

The spelling of 7825207572 in words is "seven billion, eight hundred twenty-five million, two hundred seven thousand, five hundred seventy-two".