637672 has 32 divisors (see below), whose sum is σ = 1396800. Its totient is φ = 267264.

The previous prime is 637669. The next prime is 637691. The reversal of 637672 is 276736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3208 + ... + 3400.

It is an arithmetic number, because the mean of its divisors is an integer number (43650).

2⁶³⁷⁶⁷² 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 637672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698400).

637672 is an abundant number, since it is smaller than the sum of its proper divisors (759128).

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

637672 is a wasteful number, since it uses less digits than its factorization.

637672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 10584, while the sum is 31.

The square root of 637672 is about 798.5436744474. The cubic root of 637672 is about 86.0727705679.

The spelling of 637672 in words is "six hundred thirty-seven thousand, six hundred seventy-two".