3172320 has 72 divisors (see below), whose sum is σ = 10830456. Its totient is φ = 845568.

The previous prime is 3172313. The next prime is 3172327. The reversal of 3172320 is 232713.

It is an interprime number because it is at equal distance from previous prime (3172313) and next prime (3172327).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×3172320³ = 95775013629333504000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3172293 and 3172302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3172327) 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, 339 + ... + 2541.

It is an arithmetic number, because the mean of its divisors is an integer number (150423).

Almost surely, 2^3172320 is an apocalyptic number.

3172320 is a gapful number since it is divisible by the number (30) 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 3172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415228).

3172320 is an abundant number, since it is smaller than the sum of its proper divisors (7658136).

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

3172320 is a wasteful number, since it uses less digits than its factorization.

3172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3172320 is about 1781.1007832237. The cubic root of 3172320 is about 146.9351372871.

The spelling of 3172320 in words is "three million, one hundred seventy-two thousand, three hundred twenty".