7297920 has 192 divisors, whose sum is σ = 28959840. Its totient is φ = 1658880.

The previous prime is 7297897. The next prime is 7297921. The reversal of 7297920 is 297927.

7297920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 (7297921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40230 + ... + 40410.

Almost surely, 2^7297920 is an apocalyptic number.

7297920 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 7297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479920).

7297920 is an abundant number, since it is smaller than the sum of its proper divisors (21661920).

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

7297920 is a wasteful number, since it uses less digits than its factorization.

7297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7297920 is about 2701.4662685290. The cubic root of 7297920 is about 193.9693153014.

It can be divided in two parts, 729 and 7920, that added together give a square (8649 = 93²).

The spelling of 7297920 in words is "seven million, two hundred ninety-seven thousand, nine hundred twenty".