4287972 has 24 divisors (see below), whose sum is σ = 10775296. Its totient is φ = 1319328.

The previous prime is 4287971. The next prime is 4287973. The reversal of 4287972 is 2797824.

It is an interprime number because it is at equal distance from previous prime (4287971) and next prime (4287973).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4287972.

It is not an unprimeable number, because it can be changed into a prime (4287971) 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 7 ways as a sum of consecutive naturals, for example, 13588 + ... + 13899.

Almost surely, 2^4287972 is an apocalyptic number.

It is an amenable number.

4287972 is an abundant number, since it is smaller than the sum of its proper divisors (6487324).

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

4287972 is a wasteful number, since it uses less digits than its factorization.

4287972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27507 (or 27505 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 4287972 is about 2070.7418960363. The cubic root of 4287972 is about 162.4615703997.

The spelling of 4287972 in words is "four million, two hundred eighty-seven thousand, nine hundred seventy-two".