4671972 has 48 divisors (see below), whose sum is σ = 12230400. Its totient is φ = 1542240.

The previous prime is 4671937. The next prime is 4671973. The reversal of 4671972 is 2791764.

It is a happy number.

4671972 is a `hidden beast` number, since 467 + 197 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4671973) 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 15 ways as a sum of consecutive naturals, for example, 19429 + ... + 19667.

It is an arithmetic number, because the mean of its divisors is an integer number (254800).

Almost surely, 2^4671972 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 4671972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115200).

4671972 is an abundant number, since it is smaller than the sum of its proper divisors (7558428).

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

4671972 is a wasteful number, since it uses less digits than its factorization.

4671972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4671972 is about 2161.4744967267. The cubic root of 4671972 is about 167.1732338891.

The spelling of 4671972 in words is "four million, six hundred seventy-one thousand, nine hundred seventy-two".