4157472 has 96 divisors (see below), whose sum is σ = 12386304. Its totient is φ = 1209600.

The previous prime is 4157471. The next prime is 4157473. The reversal of 4157472 is 2747514.

4157472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4157471) and next prime (4157473).

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

It is not an unprimeable number, because it can be changed into a prime (4157471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32673 + ... + 32799.

It is an arithmetic number, because the mean of its divisors is an integer number (129024).

Almost surely, 2^4157472 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 4157472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193152).

4157472 is an abundant number, since it is smaller than the sum of its proper divisors (8228832).

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

4157472 is a wasteful number, since it uses less digits than its factorization.

4157472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 4157472 is about 2038.9879842706. The cubic root of 4157472 is about 160.7964455540.

It can be divided in two parts, 415 and 7472, that added together give a palindrome (7887).

The spelling of 4157472 in words is "four million, one hundred fifty-seven thousand, four hundred seventy-two".