632067072 has 528 divisors, whose sum is σ = 2352248640. Its totient is φ = 148635648.

The previous prime is 632067067. The next prime is 632067109. The reversal of 632067072 is 270760236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33266679 + ... + 33266697.

Almost surely, 2^632067072 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 632067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176124320).

632067072 is an abundant number, since it is smaller than the sum of its proper divisors (1720181568).

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

632067072 is a wasteful number, since it uses less digits than its factorization.

632067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 632067072 is about 25140.9441350161. The cubic root of 632067072 is about 858.1984424800.

The spelling of 632067072 in words is "six hundred thirty-two million, sixty-seven thousand, seventy-two".