632272 has 20 divisors (see below), whose sum is σ = 1254880. Its totient is φ = 308448.

The previous prime is 632267. The next prime is 632273. The reversal of 632272 is 272236.

It is a super-3 number, since 3×632272³ = 758286114833362944, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632273) by changing a digit.

632272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229 + ... + 1147.

It is an arithmetic number, because the mean of its divisors is an integer number (62744).

2⁶³²²⁷² is an apocalyptic number.

It is an amenable number.

632272 is a deficient number, since it is larger than the sum of its proper divisors (622608).

632272 is a wasteful number, since it uses less digits than its factorization.

632272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 632272 is about 795.1553307373. The cubic root of 632272 is about 85.8291180469.

Subtracting from 632272 its sum of digits (22), we obtain a triangular number (632250 = T₁₁₂₄).

The spelling of 632272 in words is "six hundred thirty-two thousand, two hundred seventy-two".