4687872 has 96 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1327104.

The previous prime is 4687871. The next prime is 4687873. The reversal of 4687872 is 2787864.

It is an interprime number because it is at equal distance from previous prime (4687871) and next prime (4687873).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4687872² = 43952287776768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4687871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42954 + ... + 43062.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

Almost surely, 2^4687872 is an apocalyptic number.

4687872 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 4687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

4687872 is an abundant number, since it is smaller than the sum of its proper divisors (9726528).

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

4687872 is a wasteful number, since it uses less digits than its factorization.

4687872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 4687872 is about 2165.1494174768. The cubic root of 4687872 is about 167.3626645867.

The spelling of 4687872 in words is "four million, six hundred eighty-seven thousand, eight hundred seventy-two".