4007972 has 12 divisors (see below), whose sum is σ = 7163520. Its totient is φ = 1961256.

The previous prime is 4007963. The next prime is 4007981. The reversal of 4007972 is 2797004.

It is an interprime number because it is at equal distance from previous prime (4007963) and next prime (4007981).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10472 + ... + 10847.

It is an arithmetic number, because the mean of its divisors is an integer number (596960).

Almost surely, 2^4007972 is an apocalyptic number.

It is an amenable number.

4007972 is a deficient number, since it is larger than the sum of its proper divisors (3155548).

4007972 is a wasteful number, since it uses less digits than its factorization.

4007972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21370 (or 21368 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 4007972 is about 2001.9920079761. The cubic root of 4007972 is about 158.8454915593.

The spelling of 4007972 in words is "four million, seven thousand, nine hundred seventy-two".