3787872 has 96 divisors (see below), whose sum is σ = 11539584. Its totient is φ = 1075200.

The previous prime is 3787853. The next prime is 3787877. The reversal of 3787872 is 2787873.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787877) 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, 17847 + ... + 18057.

It is an arithmetic number, because the mean of its divisors is an integer number (120204).

Almost surely, 2^3787872 is an apocalyptic number.

3787872 is a gapful number since it is divisible by the number (32) 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 3787872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769792).

3787872 is an abundant number, since it is smaller than the sum of its proper divisors (7751712).

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

3787872 is a wasteful number, since it uses less digits than its factorization.

3787872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 3787872 is about 1946.2456165654. The cubic root of 3787872 is about 155.8828838268.

Subtracting from 3787872 its reverse (2787873), we obtain a palindrome (999999).

It can be divided in two parts, 37878 and 72, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 3787872 in words is "three million, seven hundred eighty-seven thousand, eight hundred seventy-two".