437972 has 12 divisors (see below), whose sum is σ = 771456. Its totient is φ = 217560.

The previous prime is 437959. The next prime is 437977. The reversal of 437972 is 279734.

It is a happy number.

437972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437977) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 647 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (64288).

2⁴³⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

437972 is a deficient number, since it is larger than the sum of its proper divisors (333484).

437972 is a wasteful number, since it uses less digits than its factorization.

437972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 716 counting only the distinct ones).

The product of its digits is 10584, while the sum is 32.

The square root of 437972 is about 661.7945300469. The cubic root of 437972 is about 75.9420148659.

The spelling of 437972 in words is "four hundred thirty-seven thousand, nine hundred seventy-two".