7171920 has 120 divisors (see below), whose sum is σ = 27545856. Its totient is φ = 1638144.

The previous prime is 7171891. The next prime is 7171933. The reversal of 7171920 is 291717.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 4329 + ... + 5751.

Almost surely, 2^7171920 is an apocalyptic number.

7171920 is a gapful number since it is divisible by the number (70) 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 7171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772928).

7171920 is an abundant number, since it is smaller than the sum of its proper divisors (20373936).

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

7171920 is a wasteful number, since it uses less digits than its factorization.

7171920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 7171920 is about 2678.0440623709. The cubic root of 7171920 is about 192.8465226368.

The spelling of 7171920 in words is "seven million, one hundred seventy-one thousand, nine hundred twenty".