7241920 has 112 divisors (see below), whose sum is σ = 20409408. Its totient is φ = 2396160.

The previous prime is 7241911. The next prime is 7241947. The reversal of 7241920 is 291427.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118690 + ... + 118750.

Almost surely, 2^7241920 is an apocalyptic number.

7241920 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 7241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204704).

7241920 is an abundant number, since it is smaller than the sum of its proper divisors (13167488).

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

7241920 is a wasteful number, since it uses less digits than its factorization.

7241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7241920 is about 2691.0815669541. The cubic root of 7241920 is about 193.4719048830.

The spelling of 7241920 in words is "seven million, two hundred forty-one thousand, nine hundred twenty".