3787272 has 48 divisors (see below), whose sum is σ = 10707840. Its totient is φ = 1207008.

The previous prime is 3787261. The next prime is 3787279. The reversal of 3787272 is 2727873.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513 + ... + 2799.

It is an arithmetic number, because the mean of its divisors is an integer number (223080).

Almost surely, 2^3787272 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 3787272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353920).

3787272 is an abundant number, since it is smaller than the sum of its proper divisors (6920568).

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

3787272 is a wasteful number, since it uses less digits than its factorization.

3787272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2315 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 3787272 is about 1946.0914675318. The cubic root of 3787272 is about 155.8746527612.

The spelling of 3787272 in words is "three million, seven hundred eighty-seven thousand, two hundred seventy-two".