629129072 has 80 divisors (see below), whose sum is σ = 1443657600. Its totient is φ = 261830400.

The previous prime is 629129057. The next prime is 629129113. The reversal of 629129072 is 270921926.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298679 + ... + 300777.

It is an arithmetic number, because the mean of its divisors is an integer number (18045720).

Almost surely, 2^629129072 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 629129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721828800).

629129072 is an abundant number, since it is smaller than the sum of its proper divisors (814528528).

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

629129072 is a wasteful number, since it uses less digits than its factorization.

629129072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 629129072 is about 25082.4454948077. The cubic root of 629129072 is about 856.8666725213.

The spelling of 629129072 in words is "six hundred twenty-nine million, one hundred twenty-nine thousand, seventy-two".