4287672 has 96 divisors (see below), whose sum is σ = 12804480. Its totient is φ = 1290240.

The previous prime is 4287667. The next prime is 4287677. The reversal of 4287672 is 2767824.

It is an interprime number because it is at equal distance from previous prime (4287667) and next prime (4287677).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁹ + 2⁵ + 8⁷ + 7 + 6⁸ + 7⁶ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37888 + ... + 38000.

It is an arithmetic number, because the mean of its divisors is an integer number (133380).

Almost surely, 2^4287672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402240).

4287672 is an abundant number, since it is smaller than the sum of its proper divisors (8516808).

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

4287672 is a wasteful number, since it uses less digits than its factorization.

4287672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4287672 is about 2070.6694569631. The cubic root of 4287672 is about 162.4577815373.

It can be divided in two parts, 428 and 7672, that added together give a square (8100 = 90²).

The spelling of 4287672 in words is "four million, two hundred eighty-seven thousand, six hundred seventy-two".