4771872 has 120 divisors (see below), whose sum is σ = 16099776. Its totient is φ = 1358208.

The previous prime is 4771843. The next prime is 4771873. The reversal of 4771872 is 2781774.

4771872 is a `hidden beast` number, since 477 + 187 + 2 = 666.

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

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 (4771873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18013 + ... + 18275.

Almost surely, 2^4771872 is an apocalyptic number.

4771872 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 4771872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049888).

4771872 is an abundant number, since it is smaller than the sum of its proper divisors (11327904).

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

4771872 is a wasteful number, since it uses less digits than its factorization.

4771872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 4771872 is about 2184.4614897040. The cubic root of 4771872 is about 168.3563863035.

The spelling of 4771872 in words is "four million, seven hundred seventy-one thousand, eight hundred seventy-two".