852129972 has 36 divisors (see below), whose sum is σ = 2194641540. Its totient is φ = 278683392.

The previous prime is 852129959. The next prime is 852129973. The reversal of 852129972 is 279921258.

It is a happy number.

852129972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 251095716 + 601034256 = 15846^2 + 24516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×852129972² = 1452250978361441568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852129973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221397 + ... + 225212.

It is an arithmetic number, because the mean of its divisors is an integer number (60962265).

Almost surely, 2^852129972 is an apocalyptic number.

It is an amenable number.

852129972 is an abundant number, since it is smaller than the sum of its proper divisors (1342511568).

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

852129972 is a wasteful number, since it uses less digits than its factorization.

852129972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446672 (or 446667 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 852129972 is about 29191.2653374259. The cubic root of 852129972 is about 948.0588143823.

The spelling of 852129972 in words is "eight hundred fifty-two million, one hundred twenty-nine thousand, nine hundred seventy-two".