4107972 has 24 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 1244800.

The previous prime is 4107953. The next prime is 4107979. The reversal of 4107972 is 2797014.

It is not an unprimeable number, because it can be changed into a prime (4107979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15429 + ... + 15692.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 2^4107972 is an apocalyptic number.

It is an amenable number.

4107972 is an abundant number, since it is smaller than the sum of its proper divisors (6349020).

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

4107972 is a wasteful number, since it uses less digits than its factorization.

4107972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31139 (or 31137 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 4107972 is about 2026.8132622420. The cubic root of 4107972 is about 160.1557337862.

It can be divided in two parts, 4107 and 972, that multiplied together give a square (3992004 = 1998²).

The spelling of 4107972 in words is "four million, one hundred seven thousand, nine hundred seventy-two".