3713472 has 112 divisors (see below), whose sum is σ = 12517120. Its totient is φ = 1057536.

The previous prime is 3713461. The next prime is 3713473. The reversal of 3713472 is 2743173.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3713473) 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, 11943 + ... + 12249.

It is an arithmetic number, because the mean of its divisors is an integer number (111760).

Almost surely, 2^3713472 is an apocalyptic number.

3713472 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 3713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258560).

3713472 is an abundant number, since it is smaller than the sum of its proper divisors (8803648).

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

3713472 is a wasteful number, since it uses less digits than its factorization.

3713472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 3713472 is about 1927.0371039500. The cubic root of 3713472 is about 154.8555296244.

Subtracting from 3713472 its reverse (2743173), we obtain a cube (970299 = 99³).

The spelling of 3713472 in words is "three million, seven hundred thirteen thousand, four hundred seventy-two".