4132752 has 80 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1230336.

The previous prime is 4132693. The next prime is 4132769. The reversal of 4132752 is 2572314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4⁸ + 1 + 3 + 2⁷ + 7⁵ + 5⁹ + 2²¹ .

Its product of digits (1680) is a multiple of the sum of its prime factors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22999 + ... + 23177.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 2^4132752 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 4132752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4132752 is an abundant number, since it is smaller than the sum of its proper divisors (7741488).

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

4132752 is a wasteful number, since it uses less digits than its factorization.

4132752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 4132752 is about 2032.9171158707. The cubic root of 4132752 is about 160.4771174956.

It can be divided in two parts, 4132 and 752, that added together give a palindrome (4884).

The spelling of 4132752 in words is "four million, one hundred thirty-two thousand, seven hundred fifty-two".