632253272 has 128 divisors (see below), whose sum is σ = 1485120000. Its totient is φ = 251475840.

The previous prime is 632253257. The next prime is 632253283. The reversal of 632253272 is 272352236.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3493022 + ... + 3493202.

It is an arithmetic number, because the mean of its divisors is an integer number (11602500).

Almost surely, 2^632253272 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 632253272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742560000).

632253272 is an abundant number, since it is smaller than the sum of its proper divisors (852866728).

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

632253272 is a wasteful number, since it uses less digits than its factorization.

632253272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its digits is 30240, while the sum is 32.

The square root of 632253272 is about 25144.6469849946. The cubic root of 632253272 is about 858.2827061435.

The spelling of 632253272 in words is "six hundred thirty-two million, two hundred fifty-three thousand, two hundred seventy-two".