4017972 has 48 divisors (see below), whose sum is σ = 11067392. Its totient is φ = 1110240.

The previous prime is 4017931. The next prime is 4017977. The reversal of 4017972 is 2797104.

It is a super-2 number, since 2×4017972² = 32288197985568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4017977) 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 15 ways as a sum of consecutive naturals, for example, 1833 + ... + 3375.

Almost surely, 2^4017972 is an apocalyptic number.

4017972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4017972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533696).

4017972 is an abundant number, since it is smaller than the sum of its proper divisors (7049420).

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

4017972 is a wasteful number, since it uses less digits than its factorization.

4017972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

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

The square root of 4017972 is about 2004.4879645436. The cubic root of 4017972 is about 158.9774897922.

The spelling of 4017972 in words is "four million, seventeen thousand, nine hundred seventy-two".