4032972 has 36 divisors (see below), whose sum is σ = 10548720. Its totient is φ = 1297632.

The previous prime is 4032971. The next prime is 4032979. The reversal of 4032972 is 2792304.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (293020).

Almost surely, 2^4032972 is an apocalyptic number.

It is an amenable number.

4032972 is an abundant number, since it is smaller than the sum of its proper divisors (6515748).

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

4032972 is a wasteful number, since it uses less digits than its factorization.

4032972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4032972 is about 2008.2260828901. The cubic root of 4032972 is about 159.1750771150.

It can be divided in two parts, 40329 and 72, that added together give a square (40401 = 201²).

The spelling of 4032972 in words is "four million, thirty-two thousand, nine hundred seventy-two".