631143072 has 144 divisors (see below), whose sum is σ = 2095172352. Its totient is φ = 176463360.

The previous prime is 631143067. The next prime is 631143103. The reversal of 631143072 is 270341136.

631143072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91422 + ... + 98082.

It is an arithmetic number, because the mean of its divisors is an integer number (14549808).

Almost surely, 2^631143072 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 631143072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047586176).

631143072 is an abundant number, since it is smaller than the sum of its proper divisors (1464029280).

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

631143072 is a wasteful number, since it uses less digits than its factorization.

631143072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 631143072 is about 25122.5610159474. The cubic root of 631143072 is about 857.7800469652.

The spelling of 631143072 in words is "six hundred thirty-one million, one hundred forty-three thousand, seventy-two".