3872752 has 40 divisors (see below), whose sum is σ = 8287664. Its totient is φ = 1741824.

The previous prime is 3872731. The next prime is 3872761. The reversal of 3872752 is 2572783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8728 + ... + 9160.

Almost surely, 2^3872752 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 3872752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143832).

3872752 is an abundant number, since it is smaller than the sum of its proper divisors (4414912).

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

3872752 is a wasteful number, since it uses less digits than its factorization.

3872752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 23520, while the sum is 34.

The square root of 3872752 is about 1967.9308930956. The cubic root of 3872752 is about 157.0386533089.

It can be divided in two parts, 3872 and 752, that added together give a square (4624 = 68²).

The spelling of 3872752 in words is "three million, eight hundred seventy-two thousand, seven hundred fifty-two".